A Gompertz distribution for time scales

DOI10.3906/mat-2003-101zbMath1493.34238OpenAlexW3123455315MaRDI QIDQ5100195

Tom Cuchta, R. J. Niichel, Sabrina H. Streipert

Publication date: 29 August 2022

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-2003-101

zbMATH Keywords

difference equationsdynamic equationsGompertztime scales calculusdiscrete \(q\)-distributions

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Discrete version of topics in analysis (39A12) Dynamic equations on time scales or measure chains (34N05)

Related Items (3)

Delay dynamic equations on isolated time scales and the relevance of one‐periodic coefficients ⋮ Memoryless properties on time scales ⋮ Periodic functions related to the Gompertz difference equation

Cites Work

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• The generalized Gompertz distribution
• Integration on time scales.
• The beta generalized Gompertz distribution
• Expression of the Lebesgue \(\Delta\)-integral on time scales as a usual Lebesgue integral; application to the calculus of \(\Delta\)-antiderivatives
• Discrete q-Distributions
• Gompertz-power series distributions
• Properties of the Laplace transform on time scales with arbitrary graininess
• q-Probability: I. Basic Discrete Distributions
• The moments of the Gompertz distribution and maximum likelihood estimation of its parameters
• An Introduction to the Theory of Point Processes
• The Gompertz Fréchet distribution: Properties and applications
• Quantum calculus

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