The Lomax-Weibull Distribution

被引:0
作者
Gupta, Jaya [1 ]
Garg, Mridula [2 ]
机构
[1] JK Lakshmipat Univ, Dept Math, Jaipur 302026, Rajasthan, India
[2] Univ Rajasthan, Dept Math, Jaipur 302004, Rajasthan, India
关键词
Lomax Distribution; Weibull Distribution; Hazard Rate Function; Moments; Reliability;
D O I
10.1166/asl.2018.12506
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this paper, we introduce a new statistical distribution constructed by combining the cumulative density functions (cdf) of Lomax and Weibull distributions and name it as Lomax-Weibull distribution. We derive mathematical expressions for its characteristic function, moments, hazard rate function and reliability. We also present some graphs for its probability density function (pdf), variance, skewness, kurtosis and hazard rate function using the software 'Mathematica'.
引用
收藏
页码:8126 / 8129
页数:4
相关论文
共 11 条
[1]  
[Anonymous], 1993, Continuous Univariate Distributions, DOI DOI 10.1016/0167-9473(96)90015-8
[2]   Distributions generated by perturbation of symmetry with emphasis on a multivariate skew t-distribution [J].
Azzalini, A ;
Capitanio, A .
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY, 2003, 65 :367-389
[3]   Beta-normal distribution and its applications [J].
Eugene, N ;
Lee, C ;
Famoye, F .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2002, 31 (04) :497-512
[4]  
Gradshteyn IS., 1994, SERIES AND PRODUCTS, V5
[5]  
Gupta J., 2015, FAR E J THEORETICAL, V51, P61
[6]  
Gupta J., 2016, PALEST J MATH, V5, P35
[7]   AUTOREGRESSIVE CONDITIONAL DENSITY-ESTIMATION [J].
HANSEN, BE .
INTERNATIONAL ECONOMIC REVIEW, 1994, 35 (03) :705-730
[8]  
Johnson NL, 1995, Continuous Univariate Distributions, V2
[9]   Families of distributions arising from distributions of order statistics [J].
Jones, MC .
TEST, 2004, 13 (01) :1-+