We propose matrix-variate beta type III distribution. Several properties of this distribution including Laplace transform, marginal distribution and its relationship with matrix-variate beta type I and type II distributions are also studied.

Let X = (Xk)k=0,1,... denote the jump chain of the block counting process of the Λ-coalescent with Λ = β(2 − α, α) being the beta distribution with parameter α ∈ (0, 2). A solution for the hitting probability h(n,m) that the chain X ever visits the state m, conditional that it starts in the state X0 = n, is obtained via an analytic method based on generating functions. For α ∈ (1, 2) the result...

Finding alternative to most well known classical family of distributions has become a topic of high importance in academic research due to their striking properties. An increasing interest can be observed for the art of adding parameter to some existing distributions as one parameter family of distributions is not sufficient to handle various real contexts. There is a vast amount of literature ...

Finding alternative to most well known classical family of distributions has become a topic of high importance in academic research due to their striking properties. An increasing interest can be observed for the art of adding parameter to some existing distributions as one parameter family of distributions is not sufficient to handle various real contexts. There is a vast amount of literature ...

In this present paper, the main aim of the authors are to present extended k-gamma, k-beta functions and extended k-beta distribution where k > 0. These newly defined functions are the generalized forms of the extended gamma, beta functions and extended beta distribution. Also, we further generalize the said functions and some of their properties.

introduction:the use of beta emitters is one of the effective methods for palliation of bone metastasis. the risk of normal tissue toxicity should be evaluated in the bone pain palliation treatment. methods: in this study, the monte carlo simulation code mcnpx was used for simulation a bone phantom model consisted of bone marrow, bone and soft tissue. specific absorbed fractions were calculated...