This paper is dedicated to the risk analysis of credit portfolios. Assuming that default indicators form an exchangeable sequence of Bernoulli random variables and as a consequence of de Finetti’s theorem, default indicators are Binomial mixtures. We can characterize the supermodular order between two exchangeable Bernoulli random vectors in terms of the convex ordering of their corresponding m...

This paper is dedicated to the risk analysis of credit portfolios. Assuming that default indicators form an exchangeable sequence of Bernoulli random variables and as a consequence of de Finetti’s theorem, default indicators are Binomial mixtures. We can characterize the supermodular order between two exchangeable Bernoulli random vectors in terms of the convex ordering of their corresponding m...

A Cramér-type moderate deviation theorem quantifies the relative error of tail probability approximation. It provides a criterion whether limiting can be used to estimate under study. Chen, Fang and Shao (2013) obtained general result using Stein’s method when was normal distribution. In this paper, theorems are established for nonnormal approximation Stein identity, which is satisfied via exch...

In this paper, we consider the reliability of k-out-of-n: F systems and its conditional form with exchangeable components in the stress-strength setup. We assume a random stress common to all the components in the system level. Applications of these results to illustrate the reliability for the system consisting of three components with the multivariate FGM and multivariate Marshall-Olkin distr...

flood water contains high amount of sediment affecting the fertility of the coarse grain alluvial fans and flood plains through increasing nutrients. in this study, the effects of the flood water spreading on the soil nutrients recovery were investigated during 10 years (2004-2014) at the poldasht flood spreading station of west azarbaijan in iran. flooded three upper strips were selected at th...

‎Multivariate normal-Poisson model has been recently introduced as a special case of normal stable Tweedie models‎. ‎The model is composed of a univariate Poisson variable‎, ‎and the remaining variables given the Poisson one are independent Gaussian variables with variance the value of the Poisson component‎. ‎Two characterizations of this model are shown‎, ‎...

In this paper, a multivariate fundamental skew probit (MFSP) model is used to model correlated ordinal responses which are constructed from the multivariate fundamental skew normal (MFSN) distribution originate to the greater flexibility of MFSN. To achieve an appropriate VC structure for reaching reliable statistical inferences, many types of variance covariance (VC) structures are considered ...

We prove a uniformly computable version of de Finetti’s theorem on exchangeable sequences of real random variables. As a consequence, exchangeable stochastic processes in probabilistic functional programming languages can be automatically rewritten as procedures that do not modify non-local state. Along the way, we prove that a distribution on the unit interval is computable if and only if its ...

In certain circumstances inference based on the likelihood function can be hindered by, for example, computational complexity; new applications of directional statistics to bioinformatics problems give many obvious examples. In such cases it is necessary to seek an alternative method of estimation. Two pseudolikelihoods, each based on conditional distributions, are assessed in terms of their ef...