Random Sum Representation Of The Noncentral Chi-Square Random Variable.
Rank of tensors of -out-of- functions: An application in probabilistic inference
Bayesian networks are a popular model for reasoning under uncertainty. We study the problem of efficient probabilistic inference with these models when some of the conditional probability tables represent deterministic or noisy -out-of- functions. These tables appear naturally in real-world applications when we observe a state of a variable that depends on its parents via an addition or noisy addition relation. We provide a lower bound of the rank and an upper bound for the symmetric border rank...
Rank order statistics for unequal samples.
Rank tests for the hypotheses concerning unidentifiable objects
Records and concomitants.
Recurrence relations for conditional moment generating functions of order statistics and record values
In this paper, recurrence relations for conditional moment generating functions and conditional moments of order statistics and record values based on random samples drawn from members of a class of doubly truncated distributions Ád are obtained.
Recursive formulas for aggregate claim distributions
Relationship between Generalized h-Statistics and Polykays.
Reliability for Beta Models
In the area of stress-strength models there has been a large amount of work as regards estimation of the reliability R = Pr(X2 < X1 ) when X1 and X2 are independent random variables belonging to the same univariate family of distributions. The algebraic form for R = Pr(X2 < X1 ) has been worked out for the majority of the well-known distributions including Normal, uniform, exponential, gamma, weibull and pareto. However, there are still many other distributions for which the form of R is...
Reliability for Laplace distributions.
Reliability for some bivariate beta distributions.