Testing exponentiality based on Kullback-Leibler information with progressively Type-II censored data

被引：74

作者：

Balakrishnan, Narayanaswamy ^{[1
]}

Rad, Arezou Habibi

Arghami, Naser Reza

机构：

[1] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K1, Canada

[2] Ferdowsi Univ Mashhad, Sch Math Sci, Dept Stat, Mashhad 91775, Iran

来源：

IEEE TRANSACTIONS ON RELIABILITY | 2007年 / 56卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

entropy; hazard function; maximum entropy; Monte Carlo simulation; order statistics; progressively Type-II censored data;

D O I：

10.1109/TR.2007.895308

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

We express the joint entropy of progressively censored order statistics in terms of an incomplete integral of the hazard function, and provide a simple estimate of the joint entropy of progressively Type-II censored data. We then construct a goodness-of-fit test statistic based on Kullback-Leibler information with progressively Type-II censored data. Finally, by using Monte Carlo simulations, the power of the test is estimated, and compared against several alternatives under different progressive censoring schemes.

引用

页码：301 / 307

页数：7

共 50 条

[31] Statistical inference for the Rayleigh model based on progressively type-II censored data
Mousa, MAMA
Al-Sagheer, SA
[J]. STATISTICS, 2006, 40 (02) : 149 - 157
[32] On adaptive progressively Type-II censored competing risks data
Hemmati, Fariba
Khorram, Esmaile
[J]. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2017, 46 (06) : 4671 - 4693
[33] Improving a Test for Normality Based on Kullback-Leibler Discrimination Information
Choi, Byungjin
[J]. KOREAN JOURNAL OF APPLIED STATISTICS, 2007, 20 (01) : 79 - 89
[34] Zero-failure software reliability demonstration testing based on Kullback-Leibler information
Sawada, K
Sandoh, H
[J]. STOCHASTIC MODELLING IN INNOVATIVE MANUFACTURING, 1997, 445 : 272 - 280
[35] An iterative approach to variable selection based on the Kullback-Leibler information
Hughes, AW
King, ML
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1999, 28 (05) : 1043 - 1057
[36] AN IMPROVEMENT OF VARIABLE SAMPLING PLANS BASED ON KULLBACK-LEIBLER INFORMATION
ARIZONO, I
OHTA, H
[J]. INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH, 1987, 25 (09) : 1393 - 1400
[37] Inference of intrinsic spiking irregularity based on the Kullback-Leibler information
Koyama, Shinsuke
Shinomoto, Shigeru
[J]. BIOSYSTEMS, 2007, 89 (1-3) : 69 - 73
[38] Testing exponentiality based on Type-I censored data
Pakyari, Reza
Balakrishnan, N.
[J]. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2013, 83 (12) : 2369 - 2378
[39] Goodness-of-fit tests based on Kullback-Leibler information
Senoglu, B
Sürücü, B
[J]. IEEE TRANSACTIONS ON RELIABILITY, 2004, 53 (03) : 357 - 361
[40] Kullback-Leibler distance as a measure of the information filtered from multivariate data
Tumminello, Michele
Lillo, Fabrizio
Mantegna, Rosario N.
[J]. PHYSICAL REVIEW E, 2007, 76 (03):

← 1 2 3 4 5 →