Pages: 1 - 16
We introduce a new family of distributions called the gamma extended Weibull family. The proposed family
includes several well-known models as special cases and defines at least seventeen new special models. Structural
properties of this family are studied. Additionally, the maximum likelihood method...
Pages: 17 - 26
Characterization of a probability distribution plays an important role in probability and statistics.
This paper considers a new characterization of Gompertz-Verhulst distribution. It is hoped that
the findings of the paper will be useful for researchers in different fields of applied sciences.
Pages: 27 - 37
In this paper, we have presented some results for the residual and past entropies of order statistics. Results on
the stochastic comparisons based on residual entropy of order statistics are presented. Characterization results
for these dynamic entropies based on the sufficient condition for the uniqueness...
Pages: 38 - 45
In this chapter, we derive some recurrence relations satisfied by single and product moments of generalized
record values arising from Gompertz and inverted Gompertz distributions. Further, we have obtained characterization
of Gompertz and inverted Gompertz distributions based on certain properties...
Pages: 46 - 64
Multivariate meta-analysis has potential over its univariate counterpart. The most common challenge in univariate
or multivariate meta-analysis is estimating heterogeneity parameters in non-negative domains under the
random-effects model assumption. In this context, two new multivariate estimation...
Pages: 65 - 82
We introduce a five-parameter continuous model, called the McDonald log-logistic distribution, to extend the
two-parameter log-logistic distribution. Some structural properties of this new distribution such as reliability
measures and entropies are obtained. The model parameters are estimated by the...
Pages: 83 - 85
It is shown that the normal distribution with mean zero is characterized by the property that the product of its
characteristic function and moment generating function is equal to 1.
Pages: 86 - 104
We study some mathematical properties of the Kumaraswamy modified Weibull distribution pioneered by
Cordeiro et al.  not discussed by these authors. This model is quite flexible for analyzing positive data since
it contains as special models some widely-known distributions, such as the KumaraswamyWeibull,...