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In this paper, the methods of obtaining maximum entropy bivariate distributions under the constraints, that one of the marginal distributions, both of marginals, or the marginals and correlation betwe...
In this paper, we consider a classical risk process model and allow investment into a risk-free asset as well as proportional reinsurance. The optimal proportional reinsurance strategy is found to min...
The family of g-and-h transformations are popular algorithms used for simulating non-normal distributions because of their simplicity and ease of execution. In general, two limitations associated with...
A simple bound is presented for the probability that the sum of nonnegative independent random variables is exceeded by its expectation by more than a positive number t. If the variables have the same...
Weighted distributions in general and length-biased distributions in particular are very useful and convenient for the analysis of lifetime data. These distributions occur naturally for some sampling ...
This paper continues a series of results begun by a l'Hospital type rule for monotonicity, which is used here to obtain refinements of the Eaton-Pinelis inequalities for sums of bounded independent ra...
We show that one half is a lower bound for the critical probability of an oriented site percolation process of Grimmett and Hiemer. This value improves the known lower bound of one third. We employ an...
In this paper inequalities between univariate moments are obtained when the random variate, discrete or continuous, takes values on a finite interval. Further some inequalities are given for the momen...
It is proved that a probability measure is dominated by$g$-expectation ${\cal E}_{\mu}[\cdot]$ if and only if it can begenerated by Girsanov transformation via a process which isuniformly bounded by ...
The set of probability functions is a convex subset of $L^1$ and it does not have a linear space structure when using ordinary sum and multiplication by real constants. Moreover, difficulties arise wh...
Embrechts and Veraverbeke~[2] investigated the renewal risk model and gave a tail equivalence relationship of the ruin probabilities ψ(x) under the assumption that the claim size is heavy-tailed, whic...
Subject to the assumption that the common distributionof claim sizes belongs to the extended regular variation class,the present work obtains a simple asymptotic formula for the ruinprobability within...
This paper studies the multi-solution phenomenon for the perspective four point(P4P) problem from geometric and algebraic aspects. We give a pure geometric proof that the P4P problem could have up to ...
We prove that the convolution of a selfdecomposable dis-tribution with its background driving law is again selfdecomposable if and only if the background driving law is s-selfdecomposable.
For basic discrete probability distributions, $-$ Bernoulli, Pascal, Poisson, hypergeometric, contagious, and uniform, $-$ $q$-analogs are proposed.

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