摘要:

A life distribution F is an increasing failure rate average (IFRA) ifFor testing H0: F is exponential, versus H1F is IFRA, but not exponential based on randomly censored data, we propose a test statistics whereis the KAPLAN–MIEER Product limit estimator of F. The asymptotic normality of Jnc(b) is established and an asymptotically distribution – free test is obtained. /The efficiency loss due to ocensoring is studied compared to DESHPANDE'S (1983) test uncensored case. The asymptotic relati ve efficiency with respect to CHEN,HOLLANDER AND LANGBERG'S (1983) test is shoen to be reasonably high

ISSN:0233-1888    

DOI:10.1080/02331888908802170

出版商:Akademie-Verlag    

年代:1989

数据来源: Taylor

ISSN:0233-1888    

DOI:10.1080/02331888908802171

出版商:Akademie-Verlag    

年代:1989

数据来源: Taylor

ISSN:0233-1888    

DOI:10.1080/02331888908802172

出版商:Akademie-Verlag    

年代:1989

数据来源: Taylor

摘要:

Two related problems are considered here. First, a class of tosts is proposed for testing bivariate exponentiality (BVE) against the class of bivariate increasing failure rate average (IFRA) distributions. Secondly, we propose a test of BVE versus bivariate new better than used of ago (to to)),a new class of bivariate distributions introduced here. The PITMAN asymptotic relative efficiencies of these tests with respect to BASU and EBRAHIMI's (1984) bivariate new better than used (BNBU) test, compared

ISSN:0233-1888    

DOI:10.1080/02331888908802173

出版商:Akademie-Verlag    

年代:1989

数据来源: Taylor

摘要:

We consider the problem of estimating the life–distribution F from censored lifetimes. The observation scheme is renewal testing over a long time horizon although the results can apply to survival testing with repetitions. We exhibit a product–limit estimator of F which is shown to be consistent and to converge weakly to a GAUSsian process. To do this we first extend these properties of the NELSON-AALEN martingale estimator to the family of PoissoN–type counting processes. Our proof of weak convergence is based on the general functional central limit theorems for semimartingales as developed by .JACOB, SHIRYAYEV and others

ISSN:0233-1888    

DOI:10.1080/02331888908802174

出版商:Akademie-Verlag    

年代:1989

数据来源: Taylor

摘要:

In the paper the problem of minimax is considered for multidimensional time continuous, linear stochastic system defined in (7) when the loss function is given by (11), Main results are presented in Section 6 (Theorem 1 and 2)

ISSN:0233-1888    

DOI:10.1080/02331888908802175

出版商:Akademie-Verlag    

年代:1989

数据来源: Taylor

ISSN:0233-1888    

DOI:10.1080/02331888908802176

出版商:Akademie-Verlag    

年代:1989

数据来源: Taylor