Discrete \(q\)-distributions on Bernoulli trials with a geometrically varying success probability

DOI10.1016/j.jspi.2010.03.024zbMath1201.60008OpenAlexW2006798480MaRDI QIDQ974477

Charalambos A. Charalambides

Publication date: 3 June 2010

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2010.03.024

zbMATH Keywords

\(q\)-binomial distributionnegative \(q\)-binomial distribution\(q\)-Stirling distributionsEuler distributionHeine distribution

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Combinatorial probability (60C05)

Related Items (12)

On runs of ones defined on a \(q\)-sequence of binary trials ⋮ On multivariate discrete q-Distributions-A multivariate q-Cauchy’s formula ⋮ Estimation parameters for the Binomial q-distribution ⋮ q-Multinomial and negative q-multinomial distributions ⋮ A \(q\)-random walk approximated by a \(q\)-Brownian motion ⋮ A q -binomial extension of the CRR asset pricing model ⋮ Characterization Theorems for the B-q-Binomial and the q-Poisson Distributions ⋮ A \(q\)-Pólya urn model and the \(q\)-Pólya and inverse \(q\)-Pólya distributions ⋮ K-th Record Values and Their Basic Properties ⋮ On characterizing the exponential \(q\)-distribution ⋮ Unnamed Item ⋮ Heine process as a q-analog of the Poisson process—waiting and interarrival times

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Absorption processes: Models for \(q\)-identities
• Convergence of generalized Bernstein polynomials
• The \(q\)-Bernstein basis as a \(q\)-binomial distribution
• The \(q\)-cluster distribution
• Approximate counting: a detailed analysis
• On the generalized Euler distribution
• Existence conditions and properties for the generalized Euler family of distributions
• \(q\)-distributions and Markov processes
• \(q\)-Bernstein polynomials and their iterates.
• Non-central generalized \(q\)-factorial coefficients and \(q\)-Stirling numbers
• Characterizations involving \(U|(U+V=m)\) for certain discrete distributions
• Convolution of geometrics and a reliability problem
• Distribution of record statistics in a geometrically increasing population
• Moments of a class of discrete \(q\)-distributions
• A group-dynamic model and the lost-games distribution
• Distribution of Record Statistics in aq-Factorially Increasing Population
• Certain state-dependent processes for dichotomised parasite populations
• Oil exploration: sequential decisions in the face of uncertainty
• The absorption distribution and the_q-binomial theorem
• On Counts of Organisms Able to Signal the Presence of an Observer
• Steady-state Markov chain models for the Heine and Euler distributions
• On the distribution of the inter-record times in an increasing population
• Absorption sampling and the absorption distribution
• Markov Processes Involving q-Stirling Numbers
• The q-deformed binomial distribution and its asymptotic behaviour
• Moments and generating functions for the absortion distribution and its negative binomial analogue
• Estimation of Parameters in a Transient Markov Chain Arising in a Reliability Growth Model
• On a Probability Distribution

This page was built for publication: Discrete \(q\)-distributions on Bernoulli trials with a geometrically varying success probability