Motivated by the observation that for a sample of size two from an exponential distribution, the largest order statistic is distributed as a convolution of two independent exponential random variables with distributions differing only in their intensity or rate parameter, a spectrum of related...

In this paper we obtain a result on Hyers–Ulam stability of the linear functional equation in a single variable <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$f(\varphi (x))=g(x) \cdot f(x)$$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <mrow> <mi>f</mi> <mo stretchy="false">(</mo> <mi mathvariant="italic">φ</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> <mo stretchy="false">)</mo> <mo>=</mo> <mi>g</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> <mo>·</mo> <mi>f</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> </mrow> </math> </EquationSource> </InlineEquation> on a complete metric group. Copyright Springer Science+Business Media New York 2014

We analyse the point availability of a repairable duplex system characterized by cold standby and by a priority rule. The system is attended by two (general) heterogeneous repairmen. To describe the random behaviour of the system, we introduce a stochastic process endowed with probability...

This paper studies the existence, uniqueness and iterative approximations of solutions, bounded solutions and continuous bounded solutions for a functional equation arising in dynamic programming of multistage decision processes by using fixed point theorems and the iterative methods in complete...