A New Class of Beta-Complementary Exponential Power Series Distributions

2018 ◽  
Vol 46 (5) ◽  
pp. 20170036
Author(s):  
E. Mahmoudi ◽  
R. S. Meshkat ◽  
M. Entezari
Keyword(s):  
Power Series ◽  
New Class ◽  
Exponential Power ◽  
Power Series Distributions

Generalized exponential–power series distributions

2012 ◽  
Vol 56 (12) ◽  
pp. 4047-4066 ◽  
Author(s):  
Eisa Mahmoudi ◽  
Ali Akbar Jafari
Keyword(s):  
Power Series ◽  
Exponential Power ◽  
Power Series Distributions

scholarly journals A Compound Class of the Inverse Gamma and Power Series Distributions

Symmetry ◽  
2021 ◽  
Vol 13 (8) ◽  
pp. 1328
Author(s):  
Pilar A. Rivera ◽  
Enrique Calderín-Ojeda ◽  
Diego I. Gallardo ◽  
Héctor W. Gómez
Keyword(s):  
Power Series ◽  
Real Data ◽  
Maximum Likelihood Estimates ◽  
Data Sets ◽  
Hazard Functions ◽  
New Class ◽  
Inverse Gamma ◽  
Gamma Power ◽  
Power Series Distributions ◽  
Quantile Method

In this paper, the inverse gamma power series (IGPS) class of distributions asymmetric is introduced. This family is obtained by compounding inverse gamma and power series distributions. We present the density, survival and hazard functions, moments and the order statistics of the IGPS. Estimation is first discussed by means of the quantile method. Then, an EM algorithm is implemented to compute the maximum likelihood estimates of the parameters. Moreover, a simulation study is carried out to examine the effectiveness of these estimates. Finally, the performance of the new class is analyzed by means of two asymmetric real data sets.

scholarly journals ON BIVARIATE EXPONENTIATED EXTENDED WEIBULL FAMILY OF DISTRIBUTIONS

2016 ◽  
Vol 38 (2) ◽  
pp. 564 ◽  
Author(s):  
Rasool Roozegar ◽  
Ali Akbar Jafari
Keyword(s):  
Power Series ◽  
Residual Life ◽  
Likelihood Estimation ◽  
Estimation Procedure ◽  
Rate Function ◽  
Mean Residual Life ◽  
New Class ◽  
Special Cases ◽  
Exponentiated Weibull ◽  
Exponential Power

In this paper, we introduce a new class of distributions by compounding the exponentiated extended Weibull family and power series family. This distribution contains several lifetime models such as the complementary extended Weibull-power series, generalized exponential-power series, generalized linear failure rate-power series, exponentiated Weibull-power series, generalized modifiedWeibull-power series, generalized Gompertz-power series and exponentiated extendedWeibull distributions as special cases. We obtain several properties of this new class of distributions such as Shannon entropy, mean residual life, hazard rate function, quantiles and moments. The maximum likelihood estimation procedure via a EM-algorithm is presented.

On Certain Properties of Power-Series Distributions

Biometrika ◽  
1959 ◽  
Vol 46 (3/4) ◽  
pp. 486 ◽  
Author(s):  
C. G. Khatri
Keyword(s):  
Power Series ◽  
Power Series Distributions
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