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The accuracy of compound Poisson approximation to the sum $S=w_1S_1+w_2S_2+...+w_NS_N$ is estimated. Here $S_i$ are sums of independent or weakly dependent random variables, and $w_i$ denote weights...
We consider a general nonparametric regression model called the compound model. It includes,as special cases, sparse additive regression and nonparametric (or linear) regression with many covariates b...
Under the Basel II standards, the Operational Risk (OpRisk) advanced measurement approach is not prescriptive regarding the class of statistical model utilised to undertake capital estimation. It has ...
We study the problem of incorporating covariates in a compound decision setup. It is desired to estimate the means of $n$ response variables, which are independent and normally distributed, and each i...
Let $X_1,X_2,...,X_n$ be a sequence of independent or locally dependent random variables taking values in $\mathbb{Z}_+$. In this paper, we derive sharp bounds, via a new probabilistic method, for the...
We propose an infinitesimal dispersion index for Markov counting processes. We show that, under standard moment existence conditions, a process is infinitesimally (over-) equi-dispersed if, and only ...
We prove that Le Cam's theorem for compound Poisson can be extended to a much larger set of compound distributions. Signed compound negative binomial measure is introduced. Relations between compou...
In this paper we present two large deviation results for weighted compound sums L:, aiXi, where Xis are i.i.d. (possibly lattice) random variables, a;s are non-negative real numbers, and N is a Poi...
Large Deviation Results for Compound Markov Renewal Processes。
We give a simple development of the concentration properties of compound Poisson measures on the nonnegative integers. A new modification of the Herbst argument is applied to an appropriate modified l...
We give a simple development of the concentration properties of compound Poisson measures on the nonnegative integers. A new modification of the Herbst argument is applied to an appropriate modified l...
Several matrix variate hypergeometric type distributions are derived. The compound distributions of left-spherical matrix variate elliptical distributions and inverted hypergeometric type distributi...
Let Λi, 1 ≤ i ≤ l be simple patterns, i.e., finite sequences of outcomes from a set Γ = {b1, b2, ..., bm} and let Λ be a compound pattern (a set ofl distinct simple patterns). In this paper, we study ...
Elsewhere I have stated that the public choice perspective combines two distinct elements: the extension of the economist’s model of utility-maximizing behavior to political choice and the conceptua...

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