GB 12282.4-1990 Life test tables Simple linear unbiased estimation tables (normal distribution lognormal distribution)

GB 12282.4-1990 Life test table Simple linear unbiased estimation table (normal distribution lognormal distribution) GB12282.4-1990 standard download decompression password: www.bzxz.net

National Standard of the People's Republic of China
Tables for life testing
Tables for simple linear unbiased estimation
(Normal distribution, lognormal distribution)
Tables fnr life testing
Tables for good linear unbiased estimale (GLUE)(Normal distribution, Jog normal distribution) 1 Subject content and scope of application
1.1 Topic content
GB 12282.4—90
This standard gives the numerical tables required for simple linear unbiased estimation of the parameters of the lognormal distribution (or normal distribution) in the constant truncated life test.
1.2 Scope of application
This standard can be used in conjunction with the life test and accelerated life test data processing method (lognormal distribution) and the simple linear unbiased estimation of the life test data processing method (normal distribution), or it can be used alone. 2 Reference standards
GB 3187 Basic terms and definitions of reliability life test and accelerated life test data processing method (lognormal distribution) Life test data processing method (normal distribution) 3 Tables for simple linear unbiased estimation
3.1 Terms and symbols
The terms used in this standard are in accordance with the provisions of GB3187, and the symbols used are consistent with those of the life test and accelerated life test data processing method (normal distribution, lognormal distribution). 3.2 The distribution function of the logarithmic normal distribution and the normal distribution is F(t) -
The logarithmic mean is the logarithmic variance. 2 yuan
Let X=lnt, where t is the product life, X is the logarithm of life, and it obeys the static distribution, and its distribution function is Fx(a.)
Approved by the State Administration of Technical Supervision on February 27, 1990expi
V2 yuanaj
Implementation on October 1, 1990
GB12282.4—90
Parameters 4, are the mean and variance of the normal distribution, respectively. When from =, 1, it is called the standard normal distribution. 3.3 Simple linear unbiased estimation
Assume that the product life obeys the log-normal distribution, randomly select from this batch of products, and conduct a fixed number truncated life test. When there are failures, the test stops. The failure time is tt
When the number of samples>2D. Use GLUE to sum. The estimation formula of is rlnr,
x ​​-- Int, - E(Z..-)a
where is the unbiasedness coefficient, E(Z.) is the mean of the order statistic Z. of the standard normal distribution. 3.4 Table
In the table, L and Ar are the variances of a/a and / respectively. GB 12282. 4--90
Application example
(reference)
Example: The life of a certain product obeys the log-normal distribution. 25 products are randomly selected from this batch of products for life test. The test is stopped when 19 products fail. The failure data are shown in the table below. Find a strict, simple linear unbiased estimate of. The failed sample bed number
can be obtained by formula <1). The estimate of
Failure time
# - 19 × 7. 169 - 120. 060 2-0.824
where n=19.5894 is obtained from the table of single linear unbiased estimates. From formula 2), the estimate of
#=7.169—0.6369 × 0.824 = 6.644Inty
12282.4-90
Simple linear unbiased estimate table (normal distribution, lognormal distribution) E(z...)
—0.8620
1- 4582
—0.6667
—0.4056
16-2957
21-6517
0,0547
.1.4814
—1,0136
—0. 8170| |tt||—0.3297
—0,2175
—0,1081
12282.490
0,0522
0-1231
1,5034
—1. 0409
—0.6040
—0.4839
—0.2616
—0.0518
—1.9653
—1.262B
--1. 0668
—0. 76 41
—0. 4086
—0.3027
GB12282.4—90
0,c464
grid=25
0,2001
—1, 9822
—1.5442
—1.2851
—1. 0914
—0.7929
—0. 6679
—0. 5527
—0. 4444
—0. 2413
—0.0478
GB12282.4—90
n·suffering from
13-4939
16-8465
a,1901
0,G412
0,0407
0,0422||tt ||—1.5633
—0.6973
—0.8771
—0.1852
—0. 0992 | 1, 5989
—1.3462
—0.8708
12282.4-90
17-5431
2: 3349
—0.3501
—0.0859
—1.3648
—1. 0 261
—0.8944
—0.6689
—0.4733
—0,3824
CB12282.4—90
1-4875
.0, 0406
—0.2089
—0.1247
—0.4129
—0.2432
GB122B2.4--90Www.bzxZ.net
n · kr.n
0,0402
—1. 167
—1.0672
—0. 9384
D,6213
—0. 5294
-0,3575
- 0. 2757
0,1169
GB12282.4—90
0,0272
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