A new stochastic order based on discrete Laplace transform and some ordering results of the order statistics

Gharari, Fatemeh; Ganji, Masoud

doi:10.1080/03610926.2021.1943442

Cited by 4 publications

(1 citation statement)

References 17 publications

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“…In particular, many researchers such as Atici and Eloe [5], Holm [6,7], and Bohner and Guseinov [8] are involved in this transformation. The approximately expected values and variances are obtained by applying the Laplace conversion method to obtain an approach to the solution of the random linear difference equation by randomizing the difference equations with various probability distributions (Tables 1 and 2) [9][10][11][12][13][14]. Some studies done in recent years in this are given in [15][16][17][18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

On the solution of random linear difference equations with Laplace transform method

Şişman

Merdan

2023

Math Methods in App Sciences

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In this study, Laplace transformation, which is very important for solutions to initial value problems, is examined. To solve the initial value problem of a discrete‐time equation, Laplace implements the conversion method. Here, Laplace transformation is used to obtain an approach to the solutions of random difference equations formed by randomizing components of deterministic difference equations. For random behavior of linear difference equations under random effects, uniform, geometric, binomial, Poisson, and Bernouilli distributions are used, and approximate expected value, variance, standard deviation, and confidence interval of equations obtained by Laplace transformation are calculated. The results were obtained through the Maple package program.

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