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The Pearson product-moment correlation commonly used as statistical dependence measure was developed assuming normal marginal and addresses only linear dependence. In most applications, the distributi...
A $t-\a$ covering array is an $m\times n$ matrix, with entries from an alphabet of size $\alpha$, such that for any choice of $t$ rows, and any ordered string of $t$ letters of the alphabet, there ex...
The Monty Hall problem is the TV game scenario where you, the contestant, are presented with three doors, with a car hidden behind one and goats hidden behind the other two. After you select a door, t...
The principle of minimization of relative entropy is used to construct a minimal entropy martingale measure for a finite probability/multiperiod market model.
In hypotheses testing, such as other statistical problems, we may confront imprecise concepts. One case is a situation in which hypotheses are imprecise. In this paper, we redefine some concepts about...
In this paper, we consider the methods of obtaining maximum entropy multivariate distributions via Burg’s measure of entropy under the constraints that the marginal distributions or the marginals and ...
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...
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...

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