On the Properties of Beta-Gamma Distribution

被引:0
作者
Kong, Lingji [1 ]
Lee, Carl [2 ,3 ]
Sepanski, J. H. [4 ]
机构
[1] Union Coll, Math, Schenectady, NY 12308 USA
[2] Cent Michigan Univ, Ctr Appl Res & Technol, Stat, Mt Pleasant, MI 48859 USA
[3] Cent Michigan Univ, Ctr Appl Res & Technol, Mt Pleasant, MI 48859 USA
[4] Cent Michigan Univ, Dept Math, Stat, Mt Pleasant, MI 48859 USA
关键词
Gamma distribution; Beta distribution; reliability function; hazard function; MLE; application;
D O I
暂无
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
A class of generalized gamma distribution called the beta-gamma distribution is proposed. Some of its properties are examined. Its shape can be reversed J-shaped, unimodal, or bimodal. Reliability and hazard functions are also derived, and applications are discussed.
引用
收藏
页码:187 / 211
页数:25
相关论文
共 11 条
[1]   GAMMA-DISTRIBUTIONS OF ADULT NUMBERS FOR TRIBOLIUM POPULATIONS IN THE REGION OF THEIR STEADY-STATES [J].
COSTANTINO, RF ;
DESHARNAIS, RA .
JOURNAL OF ANIMAL ECOLOGY, 1981, 50 (03) :667-681
[2]   Beta-normal distribution and its applications [J].
Eugene, N ;
Lee, C ;
Famoye, F .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2002, 31 (04) :497-512
[3]  
Famoye F., 2004, J MOD APPL STAT METH, V3, P85
[4]   STUDY OF DISTRIBUTIONAL SHAPE IN LIFE TESTING [J].
FAREWELL, VT ;
PRENTICE, RL .
TECHNOMETRICS, 1977, 19 (01) :69-75
[5]  
Gupta A. K., 2004, COMMUNICATION STAT T, V33
[6]   INFERENCE IN THE GENERALIZED GAMMA AND LOG GAMMA DISTRIBUTIONS [J].
LAWLESS, JF .
TECHNOMETRICS, 1980, 22 (03) :409-419
[7]  
Maynard J., 2003, THESIS
[8]   SOME GENERALIZED-FUNCTIONS FOR THE SIZE DISTRIBUTION OF INCOME [J].
MCDONALD, JB .
ECONOMETRICA, 1984, 52 (03) :647-663
[9]  
MOFFA AM, 1977, GENETICS, V87, P785
[10]   EXPERIMENTAL STUDIES OF INTERSPECIES COMPETITION .2. TEMPERATURE, HUMIDITY, AND COMPETITION IN 2 SPECIES OF TRIBOLIUM [J].
PARK, T .
PHYSIOLOGICAL ZOOLOGY, 1954, 27 (03) :177-238