A new modified exponential-geometric distribution: properties and applications

被引:1
作者
Zanboori, AhmadReza [1 ]
Zare, Karim [1 ]
Khodadadi, Zahra [1 ]
机构
[1] Islamic Azad Univ, Marvdasht Branch, Dept Stat, Marvdasht, Iran
关键词
Exponential distribution; Hazard function; Lifetime; Monte-Carlo simulation; New modified exponential-geometric distribution; GAMMA-DISTRIBUTION; FAMILY;
D O I
10.1007/s40096-021-00391-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper provides a new three-parameter lifetime distribution with increasing and decreasing hazard function. The various statistical properties of the proposed distribution are also discussed. The maximum likelihood method is used for estimating the unknown parameters, and its performance is assessed using Monte-Carlo simulation. Finally, three real data sets are applied to illustrate the application of the proposed distribution.
引用
收藏
页码:413 / 424
页数:12
相关论文
共 35 条
[1]   HOW TO IDENTIFY A BATHTUB HAZARD RATE [J].
AARSET, MV .
IEEE TRANSACTIONS ON RELIABILITY, 1987, 36 (01) :106-108
[2]   On an extension of the exponential-geometric distribution [J].
Adamidis, K ;
Dimitrakopoulou, T ;
Loukas, S .
STATISTICS & PROBABILITY LETTERS, 2005, 73 (03) :259-269
[3]   A lifetime distribution with decreasing failure rate [J].
Adamidis, K ;
Loukas, S .
STATISTICS & PROBABILITY LETTERS, 1998, 39 (01) :35-42
[4]  
Ahmad Z., 2018, J STAT MODEL THEORY, V1, P13
[5]  
Baily W. N., 1935, GEN HYPERGEOMETRIC S
[6]   ACQUISITION OF RESISTANCE IN GUINEA PIGS INFECTED WITH DIFFERENT DOSES OF VIRULENT TUBERCLE BACILLI [J].
BJERKEDAL, T .
AMERICAN JOURNAL OF HYGIENE, 1960, 72 (01) :130-148
[7]   The modified exponential-geometric distribution [J].
Bordbar, F. ;
Nematollahi, A. R. .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2016, 45 (01) :173-181
[8]  
Brunk HD., 1972, STAT-US
[9]  
Cordeiro G.M., 2016, Journal of Statistical Distributions and Applications, V3, P1, DOI [10.1186/s40488-016-0043-2, DOI 10.1186/S40488-016-0043-2]
[10]  
Cox DR., 1962, RENEW THEORY