A new univariate set of Gamma distributions /
Asmaa Abdelhakim Ibrahim Mohamed
A new univariate set of Gamma distributions / عائلات أحادية جديدة مستمدة من توزيعات جاما Asmaa Abdel-Hakim Ibrahim Mohamed ; Supervised Abdelhadi N. Ahmed - Cairo : Asmaa Abdelhakim Ibrahim Mohamed , 2017 - 60 Leaves : charts ; 30cm
Thesis (M.Sc.) - Cairo University - Institute of Statistical Studies and Research - Department of Mathematical Statistics
The main aims of this thesis are as follows: Using the log-gamma generated approach for introducing a new distribution which is called log- gamma Rayleigh distribution. Expansion for the probability density function is obtained. Many statistical properties of proposed distribution are introduced such as: hazard rate function, survival function, cumulative hazard rate function, quantile function, order statistics of the distribution, r- th moment, moment generating function, Rényi and Shannon entropies and maximum likelihood estimates for the distribution parameters are obtained. Finally, two applications are considered to illustrate the new theoretical results and the behavior of the log-gamma-Rayleigh distribution
Entropies Hazard rate function Log-gamma-Rayleigh distribution
A new univariate set of Gamma distributions / عائلات أحادية جديدة مستمدة من توزيعات جاما Asmaa Abdel-Hakim Ibrahim Mohamed ; Supervised Abdelhadi N. Ahmed - Cairo : Asmaa Abdelhakim Ibrahim Mohamed , 2017 - 60 Leaves : charts ; 30cm
Thesis (M.Sc.) - Cairo University - Institute of Statistical Studies and Research - Department of Mathematical Statistics
The main aims of this thesis are as follows: Using the log-gamma generated approach for introducing a new distribution which is called log- gamma Rayleigh distribution. Expansion for the probability density function is obtained. Many statistical properties of proposed distribution are introduced such as: hazard rate function, survival function, cumulative hazard rate function, quantile function, order statistics of the distribution, r- th moment, moment generating function, Rényi and Shannon entropies and maximum likelihood estimates for the distribution parameters are obtained. Finally, two applications are considered to illustrate the new theoretical results and the behavior of the log-gamma-Rayleigh distribution
Entropies Hazard rate function Log-gamma-Rayleigh distribution