Power of goodness-of-fit tests and some competitive proposals based on progressively type-II censored data from a location-scale distribution

被引:2
作者
Nadeb, Hossein [1 ]
Estabraqi, Javad [1 ]
Torabi, Hamzeh [1 ]
机构
[1] Yazd Univ, Dept Stat, Yazd, Iran
关键词
Goodness-of-fit test; Location-scale family; Monte Carlo simulation; Progressive type-II censoring; STATISTICS;
D O I
10.1080/03610918.2022.2105362
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
In this paper, we review some existing methods for testing goodness-of-fit based on progressively type-II censored samples in the location-scale family of distributions. Also, some similar procedures and new modifications are proposed. Using Monte Carlo simulation, the powers of the reviewed and proposed tests are compared for the normal and Gumbel distributions against several alternatives. Then, we present some results based on the simulation studies. Finally, an application to two datasets is presented for numerical illustration.
引用
收藏
页码:3461 / 3488
页数:28
相关论文
共 40 条
[1]   Progressive censoring methodology: an appraisal [J].
Balakrishnan, N. .
TEST, 2007, 16 (02) :211-259
[2]   A SIMPLE SIMULATIONAL ALGORITHM FOR GENERATING PROGRESSIVE TYPE-II CENSORED SAMPLES [J].
BALAKRISHNAN, N ;
SANDHU, RA .
AMERICAN STATISTICIAN, 1995, 49 (02) :229-230
[3]   Goodness-of-fit tests based on Spacings for progressively type-II censored data from a general location-scale distribution [J].
Balakrishnan, N ;
Ng, HKT ;
Kannan, N .
IEEE TRANSACTIONS ON RELIABILITY, 2004, 53 (03) :349-356
[4]  
Balakrishnan N, 2014, STAT IND TECHNOL, P1, DOI 10.1007/978-0-8176-4807-7
[5]   On the distribution of a test for exponentiality based on progressively Type-II right censored spacings [J].
Balakrishnan, N ;
Lin, CT .
JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2003, 73 (04) :277-283
[6]  
Balakrishnan N, 2002, STAT IND TECHNOL, P89
[7]  
Balakrishnan N.Aggarwala., 2000, PROGR CENSORING THEO, DOI DOI 10.1007/978-1-4612-1334-5
[8]   Testing exponentiality based on Kullback-Leibler information with progressively Type-II censored data [J].
Balakrishnan, Narayanaswamy ;
Rad, Arezou Habibi ;
Arghami, Naser Reza .
IEEE TRANSACTIONS ON RELIABILITY, 2007, 56 (02) :301-307
[9]   Exponentiality Test Based on the Progressive Type II Censoring via Cumulative Entropy [J].
Baratpour, S. ;
Rad, A. Habibi .
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2016, 45 (07) :2625-2637
[10]   Testing Goodness-of-Fit for Exponential Distribution Based on Cumulative Residual Entropy [J].
Baratpour, S. ;
Rad, A. Habibi .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2012, 41 (08) :1387-1396