On identifiability of mixtures of composed Poisson distributions
W. Klonecki (1971)
Applicationes Mathematicae
P. Nath, P.N. Arora (1972)
Metrika
Salman Izadkhah, Mohammad Amini, Gholam Reza Mohtashami Borzadaran (2015)
Applications of Mathematics
We derive some new results for preservation of various stochastic orders and aging classes under weighted distributions. The corresponding reversed preservation properties as straightforward conclusions of the obtained results for the direct preservation properties, are developed. Damage model of Rao, residual lifetime distribution, proportional hazards and proportional reversed hazards models are discussed as special weighted distributions to try some of our results.
Zbyněk Šidák (1973)
Aplikace matematiky
Janusz Morawiec, Ludwig Reich (2005)
Bulletin of the Polish Academy of Sciences. Mathematics
Let 0 < β < α < 1 and let p ∈ (0,1). We consider the functional equation φ(x) = pφ (x-β)/(1-β) + (1-p)φ(minx/α, (x(α-β)+β(1-α))/α(1-β)) and its solutions in two classes of functions, namely ℐ = φ: ℝ → ℝ|φ is increasing, , , = φ: ℝ → ℝ|φ is continuous, , . We prove that the above equation has at most one solution in and that for some parameters α,β and p such a solution exists, and for some it does not. We also determine all solutions of the equation in ℐ and we show the exact connection...
Adrienne W. Kemp (1978)
Applicationes Mathematicae
Slobodanka Janjić (1984)
Publications de l'Institut Mathématique
Ebrahim Salehi (2016)
Applications of Mathematics
In this paper, we consider the linear and circular consecutive -out-of- systems consisting of arbitrarily dependent components. Under the condition that at least components () of the system are working at time , we study the reliability properties of the residual lifetime of such systems. Also, we present some stochastic ordering properties of residual lifetime of consecutive -out-of- systems. In the following, we investigate the inactivity time of the component with lifetime at the system...
Chukova, S., Dimitrov, B., Dion, J.-P. (1993)
Journal of Applied Mathematics and Stochastic Analysis
R. Moynihan (1978)
Aequationes mathematicae
Rozovskij, L.V. (2004)
Zapiski Nauchnykh Seminarov POMI
Ignacy I. Kotlarski (1978)
Aequationes mathematicae
Ignacy I. Kotlarski (1977)
Aequationes mathematicae
G. S. Lingappaiah (1975)
Revista colombiana de matematicas
Matuła, Przemysław (2005)
Applied Mathematics E-Notes [electronic only]
G. S. Lingappaiah (1978)
Revista colombiana de matematicas
Ch.A. Charalambides (1986)
Metrika
Surulescu, N. (2002)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
George A. Anastassiou, Heinz H. Gonska (1995)
Annales Polonici Mathematici
In recent papers the authors studied global smoothness preservation by certain univariate and multivariate linear operators over compact domains. Here the domain is ℝ. A very general positive linear integral type operator is introduced through a convolution-like iteration of another general positive linear operator with a scaling type function. For it sufficient conditions are given for shift invariance, preservation of global smoothness, convergence to the unit with rates, shape preserving and...
Giné, Evarist, Götze, Friedrich (2004)
Electronic Communications in Probability [electronic only]