On the existence and uniqueness of the maximum likelihood estimates of parameters of Laplace Birnbaum–Saunders distribution based on Type-I, Type-II and hybrid censored samples

被引：0

作者：

Xiaojun Zhu

N. Balakrishnan

Helton Saulo

机构：

[1] Xi’an Jiaotong-Liverpool University,Department of Mathematical Sciences

[2] McMaster University,Department of Mathematics and Statistics

[3] University of Brasilia,Department of Statistics

来源：

Metrika | 2019年 / 82卷

关键词：

Birnbaum–Saunders distribution; Existence; Generalized Birnbaum–Saunders distribution; Hybrid censoring; Laplace Birnbaum–Saunders distribution; Maximum likelihood estimate; Type-I censoring; Type-II censoring; Uniqueness; 62N01; 62N02; 65C60;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we discuss the existence and uniqueness of the maximum likelihood estimates (MLEs) of the parameters of Laplace Birnbaum–Saunders distribution based on Type-I, Type-II and hybrid censored samples. We first derive the relationship between the MLEs of the two parameters and then discuss the monotonicity property of the profile likelihood function. Numerical iterative procedure is then discussed for determining the MLEs of the parameters. Finally, for illustrative purpose, we analyze one real data from the literature and present some graphical illustrations of the approach.

引用

页码：759 / 778

页数：19

共 50 条

[1] On the existence and uniqueness of the maximum likelihood estimates of parameters of Laplace Birnbaum-Saunders distribution based on Type-I, Type-II and hybrid censored samples
Zhu, Xiaojun
Balakrishnan, N.
Saulo, Helton
METRIKA, 2019, 82 (07) : 759 - 778
[2] On the existence and uniqueness of the maximum likelihood estimates of the parameters of Birnbaum-Saunders distribution based on Type-I, Type-II and hybrid censored samples
Balakrishnan, N.
Zhu, Xiaojun
STATISTICS, 2014, 48 (05) : 1013 - 1032
[3] Exact likelihood inference based on Type-I and Type-II hybrid censored samples from the exponential distribution
A. Childs
B. Chandrasekar
N. Balakrishnan
D. Kundu
Annals of the Institute of Statistical Mathematics, 2003, 55 : 319 - 330
[4] Exact likelihood inference based on Type-I and Type-II hybrid censored samples from the exponential distribution
Childs, A
Chandrasekar, B
Balakrishnan, N
Kundu, D
ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 2003, 55 (02) : 319 - 330
[5] Exact likelihood inference for Laplace distribution based on Type-II censored samples
Iliopoulos, G.
Balakrishnan, N.
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2011, 141 (03) : 1224 - 1239
[6] Testing hypotheses in the Birnbaum-Saunders distribution under type-II censored samples
Lemonte, ArturJ.
Ferrari, Silvia L. P.
COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2011, 55 (07) : 2388 - 2399
[7] Maximum likelihood estimation of Laplace parameters based on general type-II censored examples
Aaron Childs
N. Balakrishnan
Statistical Papers, 1997, 38 : 343 - 349
[8] Maximum likelihood estimation of Laplace parameters based on general type-II censored examples
Childs, A
Balakrishnan, N
STATISTICAL PAPERS, 1997, 38 (03) : 343 - 349
[9] Existence and uniqueness of the MLEs for normal distribution based on general progressively Type-II censored samples
Balakrishnan, N
Mi, J
STATISTICS & PROBABILITY LETTERS, 2003, 64 (04) : 407 - 414
[10] Exact Bayesian variable sampling plans for the exponential distribution based on Type-I and Type-II hybrid censored samples
Lin, Chien-Tai
Huang, Yen-Lung
Balakrishnan, N.
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2008, 37 (06) : 1101 - 1116

← 1 2 3 4 5 →