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Approximate Confident Interval of Parameter for Weibull Distribution under Fix-time Censored Test(PDF)

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

Issue:
2001年02期
Page:
215-219
Research Field:
Publishing date:

Info

Title:
Approximate Confident Interval of Parameter for Weibull Distribution under Fix-time Censored Test
Author(s):
ZouLinquan
Department of Economy and Management, Changzhou Teachers College of Technology,Changzhou 213001
Keywords:
realiability Weibull dist ribut ion asymptot ic normal distribut ion approximate conf ident interval fix-time censored test
PACS:
O213.2
DOI:
-
Abstract:
In this paper, the f ix-t ime censored test of Weibull dist ribut ion is studied and the limit distribut ion of total test time is obtained. If a parameter is g iven, the approximate confii dent interval of the other by using a new method can be got . Suppose that the lifet ime X of product is of W( λ, b ) distribut ion, then the data x i w ith fix-t ime t 0 is censored and S i = min( x i , t i ) is available. As Jacobi. s transformat ion determinant | J | is not equal to zero, any point ( u , v ) in the reg ion D has only a corresponding point ( K, b) . If Kis given, the parameter curves u = u ( b) , v = v ( b ) have tw o points of intersection w ith the margin curve of region D . Solv ing the follow ing equat ion: ( 1+ β2) u 2(b ) - 2 …S? u ( b ) - 2β2 v ( b) + …S 2 = 0, two roots, i. e. , b 1( λ) and b2( λ) can be got. When the confidence level is 1- A, the approximate conf idence interval of Kis b 1( λ)≤b ≤b2( λ) .

References:

1 Law less J F. Statistical models and methods for lifetime data. New Yor k: John Wiley, 1982
2 Dicicco T J. Approx imate inference for the g eneralized gamma distr ibution1 Technometrics, 1987,28: 33~ 40
3 黄鹤良, 徐晓岭. 三参数Weibull 分布参数的联合置信域.应用概率统计,1992( 8) : 398~ 402

Memo

Memo:
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Last Update: 2013-03-25