On the Moments of the Alpha Power Transformed Generalized Exponential Distribution

被引:9
作者
Nadarajah, Saralees [1 ]
Okorie, Idika E. [1 ]
机构
[1] Univ Manchester, Sch Math, Manchester, Lancs, England
关键词
Moments; multivariate H function; ozone data;
D O I
10.1080/01919512.2017.1419123
中图分类号
X [环境科学、安全科学];
学科分类号
08 ; 0830 ;
摘要
Based on an alpha power transformation method developed in Mahdavi and Kundu [Communications in Statistics-Theory and Methods, 46, 2017, doi: 10.1080/03610926.2015.1130839], Dey, Alzaatreh, Zhang and Kumar [Ozone: Science and Engineering, 39, 2017, 273-285] introduced a novel three-parameter distribution, studied its properties including estimation issues and illustrated an application to an ozone data set. Here, we derive closed form expressions for moment properties of the distribution. We also revisit their data application.
引用
收藏
页码:330 / 335
页数:6
相关论文
共 18 条
[1]   NEW LOOK AT STATISTICAL-MODEL IDENTIFICATION [J].
AKAIKE, H .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1974, AC19 (06) :716-723
[2]   Closed-Form Exact and Asymptotic Expressions for the Symbol Error Rate and Capacity of the H-Function Fading Channel [J].
Alhennawi, Husam R. ;
El Ayadi, Moataz M. H. ;
Ismail, Mahmoud H. ;
Mourad, Hebat-Allah M. .
IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY, 2016, 65 (04) :1957-1974
[3]  
[Anonymous], 2006, THEORY APPL FRACTION
[4]  
[Anonymous], J ROBOTICS, DOI DOI 10.1109/ICC.2014.6883613
[5]  
[Anonymous], 1977, KYUNGPOOK MATH J
[6]  
[Anonymous], 2017, R LANG ENV STAT COMP
[7]   A New Extension of Generalized Exponential Distribution with Application to Ozone Data [J].
Dey, Sanku ;
Alzaatreh, Ayman ;
Zhang, Chunfang ;
Kumar, Devendra .
OZONE-SCIENCE & ENGINEERING, 2017, 39 (04) :273-285
[8]   Novel Closed-Form Exact Expressions and Asymptotic Analysis for the Symbol Error Rate of Single- and Multiple-Branch MRC and EGC Receivers Over α-μ Fading [J].
El Ayadi, Moataz M. H. ;
Ismail, Mahmoud H. .
IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY, 2014, 63 (09) :4277-4291
[9]  
GOYAL SP, 1981, INDIAN J PURE AP MAT, V12, P380
[10]  
Gupta R. C., 2001, AUSTR NZ J STAT, V41, P173