Probability Generating Functions - Articles - Scientific Research Publishing

A Closed Form Probability Mass Function for Occupation Times in a Three-State Markov Chain (Articles)

James Evans, Andrzej Korzeniowski

Advances in Pure Mathematics Vol.15 No.8, August 28, 2025

DOI: 10.4236/apm.2025.158029 104 Downloads 462 Views Citations
An Infinite Series Expression for the Joint Probability Density Function of OccupationTimes in a Three-State Markov Chain (Articles)

James Evans, Andrzej Korzeniowski

Advances in Pure Mathematics Vol.15 No.11, November 18, 2025

DOI: 10.4236/apm.2025.1511038 45 Downloads 289 Views Citations
Numerical Procedures for Calculating the Probabilities of Recurrent Runs (Articles)

M. P. Silverman

Open Journal of Statistics Vol.4 No.2, February 27, 2014

DOI: 10.4236/ojs.2014.42014 4,097 Downloads 6,108 Views Citations
This article belongs to the Special Issue on Mathematical Statistics
Runs and Patterns in a Sequence of Markov Dependent Bivariate Trials (Articles)

Kirtee K. Kamalja, Ramkrishna L. Shinde

Open Journal of Statistics Vol.1 No.2, July 21, 2011

DOI: 10.4236/ojs.2011.12014 3,887 Downloads 7,828 Views Citations
On the Distribution of the Minimum or Maximum of a Random Number of i.i.d. Lifetime Random Variables (Articles)

Francisco Louzada, Estela M. P. Bereta, Maria A. P. Franco

Applied Mathematics Vol.3 No.4, April 27, 2012

DOI: 10.4236/am.2012.34054 8,053 Downloads 13,607 Views Citations
A Note on the Characterization of Zero-Inflated Poisson Model (Articles)

G. Nanjundan, Sadiq Pasha

Open Journal of Statistics Vol.5 No.2, April 20, 2015

DOI: 10.4236/ojs.2015.52017 4,035 Downloads 6,080 Views Citations
Lattice Paths and Rogers Identities (Articles)

Ashok Kumar Agarwal, Megha Goyal

Open Journal of Discrete Mathematics Vol.1 No.2, July 18, 2011

DOI: 10.4236/ojdm.2011.12011 6,114 Downloads 11,779 Views Citations
Deriving CDF of Kolmogorov-Smirnov Test Statistic (Articles)

Jan Vrbik

Applied Mathematics Vol.11 No.3, March 17, 2020

DOI: 10.4236/am.2020.113018 1,680 Downloads 6,230 Views Citations
Lucas Symbolic Formulae and Generating Functions for Chebyshev Polynomials (Articles)

Do Tan Si

Journal of High Energy Physics, Gravitation and Cosmology Vol.7 No.3, June 25, 2021

DOI: 10.4236/jhepgc.2021.73052 299 Downloads 1,182 Views Citations
On a Characterization of Zero-Inflated Negative Binomial Distribution (Articles)

R. Suresh, G. Nanjundan, S. Nagesh, Sadiq Pasha

Open Journal of Statistics Vol.5 No.6, October 13, 2015

DOI: 10.4236/ojs.2015.56053 4,170 Downloads 6,343 Views Citations
Excitation Spectra of Alkali Atoms under Spatially Confined Core Potentials (Articles)

Olokunboyo A. Olaiya

Journal of High Energy Physics, Gravitation and Cosmology Vol.12 No.1, December 9, 2025

DOI: 10.4236/jhepgc.2026.121002 87 Downloads 346 Views Citations
A Characterization of the Members of a Subfamily of Power Series Distributions (Articles)

G. Nanjundan

Applied Mathematics Vol.2 No.6, June 22, 2011

DOI: 10.4236/am.2011.26099 7,978 Downloads 12,138 Views Citations
Convergence Phenomenon with Fourier Series of $t g (\frac{x}{2})$ and Alike (Articles)

Alfred Wünsche

Advances in Pure Mathematics Vol.14 No.7, July 29, 2024

DOI: 10.4236/apm.2024.147032 621 Downloads 1,538 Views Citations
On a 3-Way Combinatorial Identity (Articles)

Garima Sood, Ashok Kumar Agarwal

Open Journal of Discrete Mathematics Vol.4 No.4, September 30, 2014

DOI: 10.4236/ojdm.2014.44012 4,335 Downloads 5,671 Views Citations
A Generating-Function Perspective on a Nonrealizable Trace-Zero Spectrum of Nonnegative 5 × 5 Matrices (Articles)

Bishnu P. Sedai

Advances in Linear Algebra & Matrix Theory Vol.16 No.1, February 25, 2026

DOI: 10.4236/alamt.2026.161001 99 Downloads 412 Views Citations
Age-Related Changes in Probability Density Function of Pairwise Euclidean Distances between Multichannel Human EEG Signals (Articles)

Mikhail Trifonov, Vladimir Rozhkov

Journal of Biosciences and Medicines Vol.2 No.4, June 12, 2014

DOI: 10.4236/jbm.2014.24004 3,364 Downloads 4,998 Views Citations
Some Results on a Double Compound Poisson-Geometric Risk Model with Interference (Articles)

Dezhi Yan

Theoretical Economics Letters Vol.2 No.1, February 23, 2012

DOI: 10.4236/tel.2012.21008 6,189 Downloads 9,987 Views Citations
The M^X/M/1 Queue with Multiple Working Vacation (Articles)

Yutaka Baba

American Journal of Operations Research Vol.2 No.2, June 20, 2012

DOI: 10.4236/ajor.2012.22025 6,460 Downloads 12,823 Views Citations
Exact Distributions of Waiting Time Problems of Mixed Frequencies and Runs in Markov Dependent Trials (Articles)

Bruce J. Chaderjian, Morteza Ebneshahrashoob, Tangan Gao

Applied Mathematics Vol.3 No.11, November 20, 2012

DOI: 10.4236/am.2012.311234 3,321 Downloads 5,368 Views Citations
Investigation of Probability Generating Function in an Interdependent M/M/1:(∞; GD) Queueing Model with Controllable Arrival Rates Using Rouche’s Theorem (Articles)

Vishwa Nath Maurya

Open Journal of Optimization Vol.1 No.2, December 31, 2012

DOI: 10.4236/ojop.2012.12006 6,031 Downloads 20,953 Views Citations

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