The objective of this paper is to define and study new generalized extended gamma functions. A generalized extended gamma probability density function involving generalized hypergeometric function is also defined. Closed form representations of the generalized gamma functions and the moment generating function are derived in the form of H-function using inverse Mellon transform techniques. Inco...

We give a simple recipe based on the use of discrete derivative, to obtain generalized bit-moments obeying nonadditive statistics of Tsallis. The generalized bit-cumulants may be of two kinds, first which preserve the standard relations between moments and cumulants of a distribution, and are nonadditive with respect to independent subsystems. The second kind do not preserve usual moment-cumula...

The moment problem matured from its various special forms in the late 19th and early 20th Centuries to a general class of problems that continues to exert profound influence on the development of analysis and its applications to a wide variety of fields. In particular, the theory of systems and control is no exception, where the applications have historically been to circuit theory, optimal con...

Morphea is a localized form of scleroderma in which there is predominant skin involvement, with occasional involvement of subjacent muscles and usually spares the internal organs. Thyroid dysfunction has been reported in systemic sclerosis but it has been rarely reported in morphea. There are few case reports of plaque-type morphea associated with autoimmune thyroiditis but generalized morphea ...

Background: Lichen planus is a common inflammatory disease that can involve the skin, nails, mucous membrane, and hair follicles. There is a long list of topical and systemic therapies for its treatment. Methotrexarte has some characteristics that make it a good choice for generalized lichen planus. Aim: The goal of this study was to assess the effect of low dose methotrexate in generalized lic...

Background: Vitiligo is a relatively common acquired depigmentary disorder affecting approximately 1% of general population. PUVA therapy is the most effective modality and commonly used as the primary treatment of generalized Vitiligo. Objective: To evaluate the synergistic effect of topical Calcipotriol and oral methoxalene plus PUVA in treatment of generalized Vitiligo. Patients and Me...

In this paper the author analyzes the weighted Renyi entropy in order to derive several inequalities in weighted case. Furthermore, using the proposed notions α-th generalized deviation and (α, p)-th weighted Fisher information, extended versions of the moment-entropy, Fisher information and Cramér-Rao inequalities in terms of generalized Gaussian densities are given. 1 The weighted p-Renyi ent...

This article gives a natural decomposition of the suspension of generalized moment-angle complexes or partial product spaces which arise as polyhedral product functors described below. In the special case of the complements of certain subspace arrangements, the geometrical decomposition implies the homological decomposition in Goresky-MacPherson [20], Hochster[22], Baskakov [3], Panov [36], and...

In many statistical problems, a more coarse-grained model may be suitable for population-level behaviour, whereas a more detailed model is appropriate for accurate modelling of individual behaviour. This raises the question of how to integrate both types of models. Methods such as posterior regularization follow the idea of generalized moment matching, in that they allow matching expectations b...