Summary The intervened Poisson distribution (IPD) of Shanmugam (Biometrics 41:1025–1029, <CitationRef CitationID="CR19">1985</CitationRef>) has been found suitable for some rare event situations where some intervention arises. The main drawback of IPD is that it is under-dispersed and appropriate for single intervention situation....</citationref>

This paper provides effective methods for the polyhedral formulation of impartial finite combinatorial games as lattice games (Guo et al. Oberwolfach Rep 22: 23–26, <CitationRef CitationID="CR7">2009</CitationRef>; Guo and Miller, Adv Appl Math 46:363–378, <CitationRef CitationID="CR6">2010</CitationRef>). Given a rational strategy for a lattice game, a polynomial time...</citationref></citationref>

In this paper we develop an order k version of the alternative hyper-Poisson distribution of Kumar and Nair (Statistica, 2012) and study some of its important properties such as its probability mass function, first moment, variance and recurrence relations for its probabilities, raw moments and...

In this paper, we introduce a class of a directed acyclic graph on the assumption that the collection of random variables indexed by the vertices has a Markov property. We present a flexible approach for the study of the exact distributions of runs and scans on the directed acyclic graph by...

In this note we are concerned with the inflated-parameter binomial distribution, which is a generalization of the classical binomial distribution. We show that there exists exactly one renewal process such that the number of renewals has an inflated-parameter binomial distribution.

In this paper, recursive equations for waiting time distributions of r-th occurrence of a compound pattern are studied via the finite Markov chain imbedding technique under overlapping and non-overlapping counting schemes in sequences of independent and identically distributed (i.i.d.) or Markov...

Recent work on Pitman closeness has compared estimators under Type-II censored samples from exponential distribution based on observed number of failures. In this paper, we carry out similar Pitman closeness comparisons for Type-I censored samples from exponential distribution based on time...

We consider the discretized version of a (continuous-time) two-factor model introduced by Benth and coauthors for the electricity markets. For this model, the underlying is the exponent of a sum of independent random variables. We provide and test an algori thm, which is based on the celebrated...