On Record Values and Reliability Properties of Marshall—Olkin Extended Exponential Distribution

被引：0
作者：
K. K. Jose
E. Krishna
Miroslav M. Ristic
机构：
[1] Central University of Rajasthan,Department of Statistics
[2] St. Joseph’s College for Women,Department of Statistics
[3] University of Nis,Faculty of Sciences and Mathematics
来源：
Journal of Statistical Theory and Applications | 2014年 / 13卷 / 3期
关键词：
Auto regressive processes; Entropy; Exponential distribution; Marshall—Olkin distribution; Record values; Reliability; Sample path; Simulation; Stress-strength analysis;
D O I：
10.2991/jsta.2014.13.3.6
中图分类号：
学科分类号：
摘要：
The Marshall–Olkin Extended Exponential distribution is introduced and reliability properties are studied. The p.d.f.’s of nth record value, joint p.d.f.’s, of mth and nth record values are derived to obtain the expression for mean, variance and covariance of reord values. The entropy of jth record value is derived.The stress strength analysis for the new model is carried out. We develop autoregressive processes and sample path properties are explored. The results are verified using simulations as well as graphical studies.The model is extended to higher orders also.
引用
收藏
页码：247 / 262
页数：15
相关论文
共 24 条
[1]  
Alice T(2003)Marshall–Olkin Pareto Processes Far East Journal of Theoretical Statistics 9 117-132
[2]  
Jose KK(2004)Bivariate semi-Pareto minification Processes Metrika 59 305-313
[3]  
Alice T(2004)Marshall-Olkin bivariate Pareto distribution and reliability applications IAPQR Trans 29 1-9
[4]  
Jose KK(1994)Relations for single and product moments of record values from Lomax distributions Sankhya 56 140-146
[5]  
Alice T(1983)Analysis of survival data by the proportional odds model Statist.Med 2 273-277
[6]  
Jose KK(1952)The distribution and frequency of record values J. Roy. Statist. Soc 14 220-228
[7]  
Balakrishnan N(1995)α-Laplace processes Mathl. Comput. Modeling 22 109-116
[8]  
Ahsanullah M(1993)The first order autoregressive Mittag-Leffler process J. Appl. Prob. 30 462-466
[9]  
Bennet S(1991)Minification processes and their Transformations J. Appl. Prob 28 45-57
[10]  
Chandler KN(1997)A new method for adding a parameter to a family of distributions with applications to the exponential and Weibull families Biometrika 84 641-652
123