In this paper, we introduce a new five-parameter distribution with increasing, decreasing, bathtub-shaped failure rate called the Beta-Weibull-Logarithmic (BWL) distribution. Using the Sterling Polynomials, various properties of the new distribution such as its probability density function, its reliability and failure rate functions, quantiles and moments, R$acute{e}$nyi and Shannon entropie...

since the rate of return on different opportunities for investment is random, the optimal distribution of ones capital is put foreward as a stochastic control problem. in this paper, using modem techniques in the theory of random functions and the stochsatic calculus, the problem is discussed for the case when the information possessed by the different investors, as well as their probability be...

Context . Statistical properties of the cosmic density fields are to a large extent encoded in shape one-point probability distribution functions (PDF) as measured surveys. In order successfully exploit such observables, detailed functional form covariance matrix PDF is needed. Aims The objectives model this for general stochastic and that reproduce expected cosmology. accuracy proposed forms e...