【国家标准(GB)】 数据的统计处理和解释 二项分布可靠度单侧置信下限

ICS03.120.30
中华人民共和国国家标准
GB/T 40872009
代替 GB/T 4087.3—1985
数据的统计处理和解释
二项分布可靠度单侧置信下限
Statistlical interpretalion of dala-One-sided confidence lower limil of reliabililyfor binomial distribution
2009-10-15发布
中华人民共和国国家质量监督检验检疫总局中国国家标准化管理委员会
2009-12-01实施
GR/T 40872009
规范性引用文作
3术语、定义利和符号
3. 1术语和定义
3.2符号
1可靠度单测置信下限的确定
4.！可靠度单侧信下限的计算公式目
......
4.2套表法确定可乾度单侧置信卜限(见附录A中表A.1)附录A（规范性附录）二项分布可靠度单侧置信下限R，数表附录B（资料性渐录）二项分布可靠度单侧置信下限的近似公式3
“数据的统计处理和解释”包括以下国家标准：数据的统计处理利解释
GB/T 3359
统计容恐区间的确定
GB/T 3361
GR/T 4087
GB/T 1088
GB/T 4089
GB/T4882
GB/T 4883
--GB/1 4885
----GB/T 4889
GB/T 1890
GB/T 8055
--.-GB/T 8056
GH/T 6380
GB/T 10092
数据的统计处理和解释
数据的统计处理和解释
数据的统订处理和解释
数扔的统计处理和解释
GB/T 4087—2009
在成对观规测值情形下两个均值的比较二项分布可靠度单侧置信下限
项分布参数的估计与检验
泊松分布参数的估计和检验
数据的统计处理和解释
态性检验
数据的统计处理和解释
正态样本离群值的判断利处理
正态分布完全样本可靠度置信下限数据的统计处理和解释
数据的统计处现和解释
数据的统计处理和解释
数据的统计处理和解释
数据的统计处理和解释
止态分布均侦和为的估让与检验正态分布均值和方差检验尚功效1分布（皮尔逊型分布）的参数估计指数分布样本离群值的判断和处兜1型极俏分布样本离群值的判断和处理数据的统计处理利解释测试结果的多乐比较-GB/T10094
正态分布分位数与变异系数的置信限本标推代替GB/T4087.3—10854数据的统计处理和解释“项分布可靠度单侧置信下限》本标推与 GB/T 4087.31985 相比主要变化如下：按GB/I1.1--2000标推化工作导则第1部分：标准的结构和编写规则》的要求对标推格式进行了修订；
按GB/T3358.1
2009《统计学间江及符号第「部分：一般统计术语与用于概率的术语》修改了术语,并增加「若本语,符号和定义；…附录A中的有效数字由原来的5位提高到7位；附录 B中的计奠程序由 BASIC语言更政为 S-P1.US语言。本标证的附录A为规范性附录,附录B为资料性附录，本标唯所全淘统计法成用标准化技术委员会（SACTC21）提出并口口本标准起草单位：东北师范人学、北京大学、中国标准化研究院本标雅主要起节人：张宝学、房祥患，李丹、丁文兴、于振凡筛。本标准所代替标准的历次版本发布情况为：-G3/T 4087. 3-—1985.
GB/T40872009
本标雅适用于产品试验结果为成功、失败两种状态的可靠度单侧置危下限估计，也可用于可化为此种情形的其他场合。从产品总体中随机地、独立地抛取名十个个体作为样本，本标准舰定了基于这类样本确定产品可靠度单侧置信下限的方法本标推的主婴内容以数表形式列出，但有些场合的参数可能不在表中，这时叫以通过附录B中的近似公式计算,还可以用附录B中的S PLUS程序直接计算出来。范围
数据的统计处理和解释
二项分布可靠度单侧置信下限
GB/T 4087—2009
从产品总体中随机地、独立地抽取岩1-个个体作为样本，本标准规定了基于这类样本确定产品可靠度单侧置信下限的方法。对有限总体，设其大小为N,样本大小为，当抽取是石放可抽样附，或当抽取是无放抽样，但n/N<0.1时，n次抽取可以认为是独立的。本标准适用于产品试验结果为成功、失败两种状态的可靠度单侧置信下限估计，也可用于可化为此种情形的其他场合。
规范性引用文件
下列文件中的条款过本标准的引用而成为本标准的条款。凡是注H期的叭用文件，其随片所有的修改单（不他括勘误的内容）或修订版均不适用于本标准，然两，鼓励报据本标准达成协议的各方研究是否叫使用这些文件的最新版本。丸起不注日期的引用文件，其敏新版本适用于本标准。GB/T2900.13电T术语可信性与服务质量（GB/T2900.13--2008，IECG0050（191)：1990Amd.1:1999 及Anmd.2.2002,IT
GB/T3358.1统计学询汇及符号第1部分：一般统计术语与用J概率的术语（GB/T3358.12009,1S03534-1:2006,10)
(行B/T3358.2统计学词及符号第2部分：应用统计（(R/T3358.2—2009,IS03534-2：2006，IDT)
3术语、定义和符号
3. 1术语和定义
GB/T 2900.13,GB/T 3358,1和 GB/T 3358.2确立的术语和定义适用→ 小标难。为便+参考,某些术语直接引自上述标准。
3.2符号
GB/『3358,1和GH/T3358.2确立的以及下列符凸适用于本标推。样本黄
曾信水平
可靠度单侧置信下限
试验结果为失败的个数
4可靠度单侧置信下限的确定
4.1可靠度单侧置信下限的计算公式对样本人小n，失败数F.在置信水平下，可靠度R的单侧置信下限R，按以下公式计算：F.-- 0,R.. --VI -.Y
F - - 1,RL - 1--
.（3)
GB/T 4087—2009
式(1),式(3),式4)中真接给出了R：的计算公式。武（2)的计算方法参见附录B中摊荐的行法4,2查表法确定可靠度单侧置信下限(现附录 A中表 A,1)4.2.1数表的参数范围与表跖
--0. 50(0. 10)0. 90,0. 95,0, 99n=1(1)70(3)100(10)4G(20)20C(50)1000F—0(1)20
4. 2. 2数表的应用
山给定的罩信水平7、样本量n及失败数F,弯本标准附录A所列数表（表A.1),即得产品可靠度单侧置信下限R.。表A.1未给出的R.值可利用本标证提供的数据内捕计算，地可参照本标准附录B给出的近似公式计算,附录B 中还提供了近似计算的S P.1S程序。4.2.3应用示例
系例1：
某煤炸螺轻试验了15件，失效一抑,规定骨信水平为0. 90,求可靠度单侧肾信下限。相应于 n-100,F-1,7-0. 53,查表 A. [ 得:R.. - : 0. 961 66o 4
东例2：
桌电子设备使用者命服从指数分存，其任务时问tm253小，今试验数，80，火败数F：-2，未记录效时间，置倍求平为G.90,求该设备失效率上限。根据指数分作可靠性估计现论有;R. - e
柯成了 80,F -2,0. 90,清表A. 1 得ta
R: 0.934 840 C
X* 250ln 0.934 840 0
0, 000 269 52
0.5000000
0.7071068
0.7937005
0.8408964
0.8705506
C.8908987
C.9657237
c.9170040
0.0258747
0.9330330
0.$389309
0.5480775
0.9516952
0.9548116
0.5576033
0.9600457
0.9622238
0.96-1760
0.9659363
0.9675318
0.9689845
0.9703128
0. 9715319
0.9726549
0.9736927
0. 9746546
0.9755485
0.9763818
0.9771600
5.9778885
9.9785721
.9792146
0.9758197
0.9803306
0.9809301
0.9811107
0.9819246
C.9823810
0.9828206
C.9832361
c.9836319
G.9840093
c.9843701
0.9847148
0. 9880445
3.485:504
5.9855632
0.9859537
0.9862327
附录A
（规范性附录）
二项分布可靠度单侧置信下限R.数表表A.1二项分布可靠度单侧置信下限R数表y-0. 50
0.0900000
0.2928932
0.6138019
0.6859450
9.7351098
5.7714233
0.7988119
0.8203413
0.8377093
0.8520160
0.8640049
0.8741972
0.8829683
0.8905963
0.8972908
0.9C32133
0.9c84901
0.9332213
C,9174873
0.5213335
0_9248738
0.5280923
0.9310465
0,9337675
0.9362515
0.9386124
0.9407784
0.9427968
0.9446822
0.9464472
0.9481031
0.9496596
0.9511255
0.0525085
,9538153
0.9550522
0.9562245
0.9523372
3.9583948
0.9603601
0.9G12747
0.9621481
0.9629829
0.9637817
0. 9645168
0.9552802
0.0559839
0.5665596
0.0000000
0.0000000
0,2062995
0.3840238
0.5000000
0.5780276
Q.6355293
.6792462
0.7136007
0.7413084
0.7641279
0.7832478
0.7995003
0.8134854
0.8256468
0.8363192
0.8157605
0.8541719
0. 8617134
0.8746756
0. 8802862
0.8854160
0.8901212
0.8944608
0.8984680
0.9021821
0.9056340
0,9088506
0.9118552
5,914G680
0.0173068
0.9197873
0.9221234
,9243272
0.9261097
0.9283807
0.9302488
0.9320220
0.9337072
.9353109
0.9368389
G.9382963
C.9395880
G, 9110183
0, $422912
0. 913103
0.0446781
0.9458002
0.9468770
0.6000000
0.0000000
0.c000000
0.1591036
0.3117948
0,4201154
0.5000000
0.5592889
0.6065285
0.6446216
0.6750891
0.7022673
0.7216021
0.7438192
0.7605289
0.7751919
0.788162G
0.7997180
0.8100779
0.81911X6
0.8278835
0.8355902
0.8425361
0.8491033
0.8550597
0.8605637
0.8656549
0.8704051
0.8748239
0.8789505
0.8828137
0.8864379
0.8898417
0.8930535
C.8960797
0.8989398
0.9016467
0.9042123
0.9066475
3.0989620
0. 911144
.9132628
0.9152624
0.9190026
0.9207507
C.9224219
0.9240298
0.9255697
0.927C181
0.0990600
0.0000000
0.0090000
0.0000000
0.1294494
0.2642591
0.3640G22
0.4401409
0.5000000
0.5483119
0.5881187
0.6214819
0.6498474
0.6712599
0,6954911
0.7541246
0.7306097
0.7452975
0.7554574
0.7703418
0.7811031
0.7905025
0.7998612
0.8080842
0.8156589
0.8226572
0.8291440
0.8351728
0.8407909
0.8460386
0.8509516
0.8555606
0.8598932
9.8639733
0.8678229
0.8714605
0.8749031
0.8781661
0.8812634
0.8812067
0.8870081
c.8896766
0.8922226
0.8946534
9.8559772
0.8592053
0.9313296
0.9933712
0.9353298
0.9072104
GB/T 4087—2009
0.G000000
c.0000000
0.0000000
0.1091913
0.2283141
0.3204631
0.3930G4G
0.4516879
0,6000000
0.5101961
0,5749278
0.6045625
0.6303351
0.6529560
0.6729679
0.6907986
0.7067857
0.7212009
0,7342661
0.7461513
0.7670358
0.7670195
9.7762142
9.7847106
0. 7925854
0.7999049
0.8067247
0.8130959
0,8190597
0.8245555下载标准就来标准下载网
6.8299145
0.8318682
0.8395414
Q.8139567
0.8151362
0.8525975
0.8558574
5.8594310
0.8628315
D.8G60716
0.8691613
0.8721123
0.8749335
0.8776328
0.8802178
0.8826958
0.8850735
0.8873561
0.0000050
0.0000000
0.0000000
5.0030000
9.0000000
0,0000000
0.0942763
0.2009700
0.2861825
0.#118814
0.4595043
0.5909ocn
0.5348551
0.5651699
0.5917766
0.6153163
0.6362898
0.6550948
0.6720516
0.G874191
0.7014117
0.7112018
0.7259471
0.7367627
0.7467572
C.7560255
C.7646353
C.7726524
0.7801464
0.7871618
0.7937435
0.7099303
0.8057571
0.8132538
0.8164483
0.8213640
0.8260236
0.8304468
0.8316506
C.8386503
0.8124612
心.8495673
0.8528860
0.8560608
0. 8591015
0.8620166
0.8648133
:.8674988
CB/T 4087-—2009
0.0865908
0.只宽6758
0.9875oti9
0.987246c
0.5874764
0.5876087
0.9879132
0. 5881203
0,9883205
9.9855140
0.9887012
0.9888825
.9890580
0.5892280
0.9893929
Q. 5595527
0.3837079
C.9898584
C.9900017
C.9901468
Q.9908096
0.9913731
0.9918785
0.9923279
G.9927393
0.9930925
0.9937155
G.9942594
0.9946823
0.9950612
0.9956772
0.9961566
0.9965403
0.9972313
0.0976922
0.9980215
9.4482688
0.9984609
0.9986147
0.9987403
0.9988454
5.9989342
0.9990103
0. 9991339
0. 9951844
0, 5992301
0.9992700
0.$553071
.9673090
0.9679336
0.9685347
0.9691138
0.9696715
0.9702102
0.9707247
0.9712315
0.9717163
0.9721850
0.9726385
0.9730774
0.9735024
0.9739142
0.9713135
9.5747007
9.9750764
2. 5754111
0.9757953
0.5761394
0.0777229
0. 9731093
0.9803333
Q.5514218
0.0823561
C.0332733
C.9847892
G.086n532
G9871233
G.9880408
0.9895325
C.9906934
0.9916225
0.9932557
0. 9914118
0.9912094
0.9958C77
0.9562731
0.5566156
0.5969303
0.997204.3
0.0971193
0. 9976035
0.9977632
n.9979030
0.9980263
0.9981359
0. 9982339
0.0983222
表A.1（续）
0.9479118
0.9489070
0. 9188649
n.9507876
0.9516765
0.9525347
.9541619
0.9545344
0.9556813
0.9564039
0.9571C32
0.0577805
0.9584367
0.0596893
0.9608695
0.9614339
0.9619822
0.9645051
9.0667145
0. 9686647
9.9703991
0.9719515
0.9733492
0.9757646
0.9777786
02794835
0.9809652
0,9833223
0.9851719
0.9866522
0.9893182
0.9919965
0.9923672
0.9933205
0.9910621
0.9946655
0.5551410
0.5955457
0.9958882
0.5951818
C.9964362
0.9966588
0.9968553
0.9970295
0.9971862
0.9973268
.9281695
C.2205363
6. 931151X
0.9324181
0.9335462
C.9348182
G, 9350550
C.9370529
c.9351138
0.9391396
0,9101317
U. 9110922
.5420323
0.9429234
0. 9137970
0.9416443
0.94:51661
.9-162644
0.9.170394
0. 5177924
0.5512574
n.5543511
0. 5569653
0.6503515
9,N61JH25
5.963+023
8. 56671$2
8.9694815
9.5718252
0.9738338
0.9770977
.9756377
0. 9853315
0.9477733
0.9895185
0.9908276
0.9918460
0.9926608
0.9933276
0.9938833
0.99435:16
0.5967567
0.5051115
.9986816
0.9559215
C.995136c
Q.9963292
9.9990178
0.91075G5
9.0124202
9.9140412
0.9155947
0.9176926
5.9185387
2.9199348
0.9212845
0.3225892
0.0238507
0.9250724
C.9262559
0.9274021
C.9285131
6.9295905
.3306362
6. 9316515
C.9326368
C.9335916
0.9380023
0.9418655
0.9152671
0.9482965
0.9519089
0.9531197
0.9576682
0.9611860
0.9611611
0.9667177
0.9708698
0.9741000
0.9765861
0.9813422
0.5844481
0.6865682
0.9883333
总,9896283
0.0906552
, 9915130
0.9922198
0.9928180
0.9933308
0.9937751
n.9941641
0.99:5071
0.994812c
9.9950856
.9953312
0.8895504
C.891660X
0.8936925
0.8956485
0,8975342
0.8993529
c.901108!s
G.9028041
,9041122
1.9060255
0.9075580
0.9050410
0.9101757
0.9118685i
0.9132170
0.9145252
0.9157948
0.9170273
0.9182231
0.9193867
0.9247369
0.9214208
0.9335566
0.9372342
0.9405259
0. 9434891
0.9528817
0.9564965
6. 9595970
0.9646366
0.9685589
0.9716976
0.9773506
(.9811211
0.9838157
0.9858371
0.9874091
0.9896971
0.9005554
0.9912811
0.5510038
0.S921433
0.$929157
e.9933321
G.9937024
0.9940337
G.9943320
0.8700799
0.8725620
0.8719$12
0.8772129
0.8704714
0.8816102
0.8536753
0.8856695
0.8575960
0.8891596
0.8912614
0.8930058
0.894G952
C,8963321
0.8979186
0.8994576
0.9009553
0.9024000
0.9038077
0.50517ao
0. 5114691
0.9163788
0.9218430
0.5300416
0. 9336275
5. 9245751
3. H8827H
9.9584c25
3.1630156
3.9GG7082
0.9733575
0.9737931
0.9809623
0.9833403
0.9851899
0.9866698
0.9878812
0.9888902
0.9897442
0.S904767
0.5511115
0. 591GG4
0.3521564
0.9921921
0.9529819
0.9933328
c.0000000
0.0000000
.0000000
0.0000005
0.0000000
0.0000000
0,0829960
0.1794712
0.2585231
0.3237823
0.3785185
0.42507[8
0.4651447
0.5000000
0.5305927
0.5176593
6.5817757
0.6033993
0.6228960
0.6405684
0.6566575
0.6713681
0.6818702
0.6973062
0.7194512
0.7293506
0.7385763
0.7471935
0.7552635
0.7628284
0.7699432
0.7766428
0.7829631
0.7889369
0.7915895
0.7999474
0.8050331
0. 8098659
0.8144G61
0.8188485
0.8305355
0.8314861
0.8379828
0.8445539
0.8476384
0.0000000
0.0000000
0_0000500
0,0000000
C.00000co
C.00000co
G.00000go
C.0741253
C.1621257
0.2357365
Tl.2975541
0,3501530
0.3954381
0.1318303
0.4G94072
0.5272585
5.5517001
0.5737392
0.5937138
3, 6118955
Q.0285285
0.6437903
0, 6578484
0.6708389
.6828788
0.6940689
0.7044971
0.7142373
,7233539
0.731911c
,7399:29
0.7475263
0.7546709
0.7614222
0.7678120
0.773868!
0.7796171
0.7856803
0.7902795
0.7932333
0.7999585
0.8044706
0.8087831
0.8129098
0.8168626
0.8266513
0.8242881
0.8277773
表 A.F（）
0,0000000
0.0000000
0.0000000
0.0000000
0.0000000
0.000000c
0.00000co
0.0000000
D.0GG9G70
0.1478364
0.2166400
5,2752547
0.3257406
0.3596643
0.4082233
0.1423407
0,4727413
0.5000005
0.5245799
Q.5468569
0.5671408
0.5856865
0.6027988
0.6183878
0.6328763
0.6463549
01.6587857
0.6701165
0.6812801
0.6914504
0.7009921
0.7099612
0.7184075
0.7263765
0.7339069
0.7415337
0.7477880
0.7541507
0.7692939
0.7669922
0.771G170
0. 7768373
0.7819196
0.7867298
0.7913324
0.7957499
0.7959668
0.8010206
0.8079146
0.0000000
C.c000000
c.0000000
0.0000000
C.0000009
0.0006030
0.0000000
0.0000000
0.0000000
0.0000000
0.0610691
0.1358610
0.200-4045
0.304509(
0.347044?
0.3846837
0.4182241
0.4483000
0.4754199
0.50c0000
0.5223805
0.5428438
0.5616257
0,5789257
0.5949122
0.6097291
0.6235009
0.6363342
6.6483211
0.6595432
0.6700717
0,6799679
0.6892889
0.6980812
0.7063900
0.7142538
0.7217072
0.7287814
0.7355052
0,7419012
0.7480005
0.7538153
0.7593678
0.7646751
.7697543
0.7746184
(.7792811
0.7837552
0.7880512
0.0500000
0.9900000
0.0300000
9.0900600
O,OR000GC
0,000000C
.0O0OUGC
.0000000
C.0000000
C.0561257
0.1256903
0.1864826
0.2393736
0.2858753
0.3275321
0.3637099
0.3566037
0.4262607
0.4531432
0.4776105
0.16900000
0.5205420
0.5394828
0.5565474
0.5731332
0.5882134
0_6022513
0.6153619
0.6276354
0.G39130G
0.6455746
0,6601684
0.6697852
0.6788724
06871732
0,6955249
0.7033532
0.7107166
0.7177153
0.7243525
0.7307426
0.7368165
0.7481753
0.7531952
0.7685953
0.7631681
0.7681875
GB/T 4087—2009
0.cG00000
0.cc00000
0.0000000
0.6000000
0.0000002
0.000000:
0.0000000
0,0000000
0.0000000
0.000c00c
0.0000000
3,8otGocO
0.9519223
0.1169143
0.1742809
0.2247257
C,2693903
0.3092019
0.3449053
o,377t030
0.4062863
0.4328592
0.4571568
0.4794582
0.5000000
0.5189825
0.5365770
0. 5529299
0.5681675
0.5824016
0.5957267
0.6082286
0.6199798
0,6310473
0.6414884
0.6513540
0.6606919
0.6695426
0.6779434
0.5859279
Q.6935257
0.7007645
0.7076691
0.7142626
0.7205651
0.7265957
0.7323719
0.7379085
0.7432211
6.7483220
0,0000000
0.0000500
0.0000000
0,000030G
0.0000000
0.0000600
0.0000000
0.0000000
0,0000000
o.cCCooD0
0.coc0000
o.c660000
9.C483049
0109280
0.1636165
o,2t17664
6.2547022
0.2932144
0.3279183
0.3594317
0.3881005
0.4113133
0,4383744
0.4605370
0.4810176
0.5176429
0.5345838
0.5494413
0.5638181
0.5773067
0.5899858
0,6019263
0.6131909
0.6238357
0.6339135
0,6434595
0.6525236
$, 6611377
3.6693354
9.6771457
0.6845957
9.6917093
0.6985100
D.7C50160
0.7112479
0.7172217
9.7284571
GB/T 4087—2009
0.8506063
0.8534610
0.8562084
0.8588549
0.8614056
9.8638660
3.8662398
0.8685326
0.8707483
0.8728905
0.8749633
0.8769651
0.8789115
0.8807933
0.8826176
0.8843877
0.8861322
0.8877711
0.8893887
0.8909625
0. 8981291
0.9045352
0,91G1286
0,9151028
G.9195657
G.9235642
c.9364916
C.9362664
0.9411577
0.5453510
0.9521673
.3574730
0.9617182
9.0653511
0.9744544
0.9781090
0.5805432
(.6829700
0.9845720
e9850546
0.98722.1
0.9882072
e.5830489
6.9897789
Q.99C4172
0.99c9807
6.9914817
0.99[9300
0.9923333
9.8311326
0.8343584
0.8604554
0.8433390
0.8161155
0.8488035
0.8513559
0.8538995
0.8563208
C.8586637
0.8609308
C8631270
6.8652538
6.5573165
C.8712574
C.8731415
0.8749709
0.8767485
G.884929E
G.5520309
0. 8584135
0.9940359
Q.9903691
0.5136000
0.9211312
D.9279603
0.9334875
0.5382272
0.9459323
0.9519250
0.9567281
0.9653795
0.9711356
0.9752h57
0.9783455
0.9897591
0.9826736
0.9842470
0.9855690
0.9866793
0.9876219
0.9884164
0.9891687
0.5898950
0.9903714
0.9908781
0,9913343
表A.1 (续)
0.6116561
U,8152550
0.8187130
0.8220551
0.8252708
0.8283722
C.8313657
0.8312566
C.8370499
0.8397502
0.8423634
0.8418918
C,8473409
0.8497135
0.8520143
0.8542449
o.85h409t
0.8585104
0.8695514
0.8625338
0.8716576
0.8796451
0.8861976
0.8929683
5.8585817
.9936359
0.9123693
0.9196521
0.5258166
0.9311026
0.9396968
0.9463848
0.9517372
0.9613773
0.9678069
0.9724016
0.9758486
n.9785301
U,9806769
0.9824312
0.9838918
0.9851326
0.9861941
0.9871146
0.9886293
0.989261心
n.9898263
0.99033-3
0.7921795
0.7961501
0.7999724
n.8036533
0.8072019
0.8106211
0.8139271
3.8171167
.821992
0.8231785
9.8260622
5.8288521
5. 831541
0.8317241
0.8367105
0.8391720
0.8415658
0.8438793
0.8461311
0.8183183
0.8583860
0.8971993
0.8719810
0.8319007
0.8880943
G.8936710
C.9C33082
9113432
C.9181155
C.923973!
c.9334613
Q：3408406
0.9457464
0.9573827
0.9644781
0, 9743509
0.9763102
0.8806146
00822289
0.9835957
0. 9847663
0.9857820
0.9874536
0.0881507
0.9857735
Q.0893350
0.7727021
0.7770452
0.7812257
3.7852515
0.7891330
9.7928761
0.7964885
0.7959765
0.8033477
0.8066069
0.8097603
0.8128123
0.8167673
[1.8186313
0.8414068
0.2240999
Q.8267117
0.8292474
c. 5317101
c.$311027
.8151138
C.8547534
e.8532536
0.8708323
0.5776068
0.8837961
0.8912162
0.9333343
0.9104739
0.9168536
0.9272251
0.9352958
0.9117555
0.9533888
0.9611486
0.9666934
0.9708535
0.9740895
0.9766785
0.9787979
0.9805638
0.9820580
0.9833393
0.9846494
0.985-210
0.9862770
0.9870403
0.9877218
0.9883358
0.7532247
.7579396
0.7621781
C.7668498
0.7710634
0.7751265
0.7790492
0.7828361
0.7900348
0.7934585
0.7967718
0.79998c5
0.8930895
5.8061030
5.8090261
0.8118626
U.814G15G
0.8172851
0.8198872
0.8318107
0.8423068
0.8515465
0.8597632
0.8671187
C.8737404
t.8851836
C.2947254
G.9028022
e,9097282
0.9209888
0.9297517
0.5367617
. 9493949
0.9578198
0.9538393
0.9653562
6.9715695
0.9746804
0.9759805
0.5728979
0.5805203
0. 9819114
.9831168
0.9841710
0.9851022
0, 9859292
0.9566600
0.9873358
0.7337466
0.7388339
0.7437310
0.7484472
0.7529923
.7573777
u,761Ge91
0.7656555
0.76HE447
0.7734627
0.7771558
0.7807305
0.7841933
0.7875469
0.7907993
.7939524
0.7970128
C.7999829
(.8028680
0.8056709
C.8185684
C.8298603
6.8398295
C.8485918
C.8366297
0.8637747
0.8761203
0.8864137
C.8951305
0.9026937
0.5147525
0.9242068
0.0317739
0.4454992
0.9544903
0.9609852
0.9658585
0. 4696489
0.0726820
0.9751639
0,9772327
0.5789833
0.9804836
0.58178-3
0.9829218
0.9848189
0.9856173
0.9863366
0.5099560
0.0000900
0.0000000
0.0000000
t.0000000
0.0000000
0.0000000
o,0cog0o
o.co00060
0.000c0co
0.0000000
0.0000000
0.0000005
0,0451584
C.1026103
c.t541816
6.20022ng
0.2415327
0.2787990
0.3125862
0.3433425
0.3714721
0.3972914
U.4210741
t.4430528
0.4534230
0.4823566
0.5000000
0.5154803
0.5319095
0.5163845
0.5599902
0.5728011
0.5818934
0.5963173
3.6071292
0.6173764
0.6271031
0.6363475
.6451450
C.6535269
c.6615214
0.6691550
0.5761533
0.6834363
0.6901239
0.6965348
0.7026855
.7085921
.0000000
0.0000000
0.0000500
0,0000093
0.0000099
0.0000000
0,0000000
0.0000000
0.0000000
0.0000000
0.0000000
G.G0OUOCC
0.o0ccc00
,u423967
9.0966912
0.1157754
0.1898685
U.2296581
C.2657340
Q.2985883
c.3286316
0.3562099
0.3816127
0.4050879
0.4268468
0.4470703
0.4659163
0,4835193
0.5154613
3.5299954
0.5436826
0.5565958
0.5687981
.5903470
0.5912933
0.6016833
0.6115573
D.6299073
0.6384430
0.646G027
C.5513974
0.6618559
0.6659591
0.6758472
0.6824178
0.6887264
表A.1（续）
0.0000000
0.0000000
0.0000000
0.0000000
0.0801000
0,c006000
0.0000000
0.0000000
0.0900000
0.0000000
0.0000000
D.0000000
0.0000990
0.0000905
0.0399533
0.0911223
0.1382387
0.1805339
D.2188962
0.2538387
9.285795c
0.3151250
0.3421521
0.3671238
0.3902706
0.4117840
0.4318325
0.4505591
0.4685907
0.4845386
0.5000000
0.$145607
.5282975
3.5112790
0.5535649
0.5652094
0.57G2620
0.58657671
0.5967636
C.6C62885
0.6153730
0.6243186
0.G323107
0.6402V54
0.6478744
Q.6551596
0.6621492
0.6688614
0,0000000
0.0000000
0.0000000
o,00cc000
0.0c00000
G，C000000
0.0000000
0.0000000
0.0095500
0.0000000
0.0000000
0.0000000
0.0000000
0,0000000
.OUGGOC
0.000G0GG
0.$377762
5.086G958
0.1314426
0.1720711
0.2090975
0.2429629
G.2740530
C-302593l
0.3291612
0.3536051
0.3764985
0.3977488
0.4175980
0.4361820
0. 4536159
Q.4700G51
0.4854389
0.5000000
0.5137559
0.6267820
0.5391256
0.5508415
0.5510770
0,5725732
0.5826690
0.5922987
0.6014945
, 6l02841
0.6186950
0,6267503
0.6418807
0.6189957
0.0000000
0.5555030
0.0500000
0.0909990
0.0500990
0.0000900
0.0990000
0.0000000
o.cocooco
0.0000600
9,0000心
0.0000032
0.0358240
0.0824337
0,1252832
0.1643716
0,2001385
0.2329807
0.2632370
0.2912009
0.3171212
0. 3412145
0.3636658
0.3846385
0.4042726
0.4226949
0.4100095
0.4563170
0.4717025
0.4862407
0.500GGO0
0,5130417
0.5251205
0.5371860
0.5183821
C.5590494
.5692245
0.6882274
0.5971138
0.6056248
0.6137811
0.6216121
0.6203292
GB/T4087——2009
0.0000000
0.0000000
0.c000000
G.GGGOCOO
c,cC9060
0.00G0000
0.0006000
0.000c000
0.0000000
0.0000000
0.0009095
0.0099099
0.0000005
0.0000000
0.6000000
5o00co
Q.500co0o0
2.0340637
0.0785711
0. 1196754
Q.1573286
0.1919160
C.2237856
0.2532429
0.2505488
0.3059305
0.3295836
0.3516799
0.3723647
0. 3917713
0.41G0147
9. 1271552
5,4434042
0.4587208
0.4732178
Q.4859579
.5000000
o.51zxyic
0.5241910
0.5354299
0.5451495
0.5563856
0.5661767
.5755334
0.5815060
0.6013435
0.6092635
0.00G0000
6.0CC0000
0.0000000
0.0000000
0.0000000
0.0000000
0,0000000
0,0000900
0.0000500
0.0000000
0.0000000
0.0000900
0.0000000
0.0000003
0.0000000
0.0000000
0.0000000
0.00000C0
0.0324682
0.075054C
心,上145477
0.1508650
0.1843418
0.21h2895
0,2439794
0.2706188
0.2955929
0.3187203
0.34c4565
D.3608193
0.3800199
.3980741
0.4151066
0.4312017
0.4464356
0.1508745
0.±745791
0.4876048
0.5000000
0.511809G
0.5230715
0. 5441111
0.5539522
0.5633753
0.5724084
0.5510750
0. 5893978
GB/T 4087-- 2009
5.7142684
9.7107283
.7249828
0.7300117
0.7349225
0.7396282
0.7441691
0.7485548
0.7527925
0.7568899
0.7698532
0.7645899
0.7684054
0.7?20050
e.7754948
C.7788787
0.7821630
0.7853503
0.7881462
0.7914535
0.8052953
0.5174137
3. 8281114
0.8376256
0.8461416
0.8538091
0.8670599
0.8781555
0.8874589
0.8951784
0.0186619
0.9267822
G.9414063
0, 9511608
0.9581311
0.9633608
0.9674285
5.0706835
0.9733472
.9735668
0.9771156
0.9700558
0. 9804517
9.9815725
0.9827500
0.983708:
U.9845654
0.9853366
0.6917993
0.7006215
0.7062347
0.711G413
.7168521
6.7218785
(.7267289
C.7314134
G.7359102
0.7403171
0.7445505
0.7486486
0.7526171
0.75G6G24
0.7691855
2.7G38050
0.7673124
C.7707176
G.7740244
G.7772376
0.7920223
0.8049663
0.8163943
9.8265565
3.8356534
c8438426
0.8579953
0.8697971
0.8797853
0.8883531
0.9022800
0.9131170
0.9217914
0.5374117
0. 9478321
0.9352770
0，9608631
0.9652083
0.9686853
0.9715305
.9739c17
0.9749079
0.0776280
0.9791184
0.9804233
0.9615713
0. 9825974
0. 9835135
0.9843373
表A.1（续）
0.6753114
0.6815155
0.6874866
0.6932380
0.6987816
0.7341290
U.7092888
0.7142727
0.7190879
0.7237435
0.7282478
e,7326073
G.7368287
G.7109158
0.7448850
0.7487305
0.7524623
0.7560850
0.759Gc25
0.7636205
0.7787492
0.7925197
0.80467GG
0.8151873
0.8351645
0.8338770
0.8485336
0.8614874
0.8812278
e.8960130
0.9075722
0.5167998
0.59331178
0.9445025
0.9524229
5.9583653
0.9529876
0.9655865
G.9697131
Q.9722358
0.9743702
0.7620心2
0.9777858
0.9791741
0.9803986
0.9814871
Q.9824601
0.9833381
0.6555325
o,GG24091
0.G687384
0.6748347
.6807112
0.6863787
0.6918487
0.6971313
9.7022357
0. 7119444
Q.7165661
：7210412
0.7253765
0.7255797
C.7335569
c,7376119
0. 74518C8
0.7488035
5.7614754
.7800723
0.7525584
0.8044182
0.8146755
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6685284
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G.6930699
0.6975521
(1.7019147
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C. 9311815
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C.9793306
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