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Now showing items 1-20 of 28

#### Weak convergence theorem for the ergodic distribution of a random walk with normal distributed interference of chance

(Turkic World Mathematical Soc, 2015)

In this study, a semi-Markovian random walk process (X (t)) with a discrete interference of chance is investigated. Here, it is assumed that the zeta(n), n = 1; 2; 3, ..., which describe the discrete interference of chance ...

#### Asymptotic Properties of the Straight Line Estimator for a Renewal Function

(Univ Kebangsaan Malaysia, 2015-07)

In estimation problems in renewal function, when the distribution is not known, nonparametric estimators of renewal function are used. Frees (1986a, Warranty analysis and renewal function estimation, Naval Res. Logist. ...

#### Some possible fuzzy solutions for second order fuzzy initial value problems involving forcing terms

(Azerbaijan National Academy of Sciences, 2014)

In this paper, we state a fuzzy initial value problem of the second order fuzzy differential equations. Here, we investigate problems with fuzzy coefficients, fuzzy initial values, and fuzzy forcing functions where fuzzy ...

#### Asymptotic Expansions For The Moments Of The Renewal-Reward Process With A Normal Distributed Interference Of Chance

(Ministry Communications & High Technologies Republic Azerbaijan, 2018)

In this study, a renewal-reward process with a normal distributed interference of chance is mathematically constructed. The ergodicity of this process is discussed. The exact formulas for the nth order moments of the ergodic ...

#### Asymptotic approach for a renewal-reward process with a general interference of chance

(Taylor & Francis Inc, 2016)

In this study, a renewal-reward process with a discrete interference of chance is constructed and considered. Under weak conditions, the ergodicity of the process X(t) is proved and exact formulas for the ergodic distribution ...

#### On The Moments For Ergodic Distribution Of An Inventory Model Of Type (S, S) With Regularly Varying Demands Having Infinite Variance

(Turkic World Mathematical Soc, 2018)

In this study a stochastic process X(t) which represents a semi Markovian inventory model of type (s,S) has been considered in the presence of regularly varying tailed demand quantities. The main purpose of the current ...

#### Investigation of fuzzy inventory model of type (s, S) with Nakagami distributed demands

(IOS Press, 2015)

In this study, a fuzzy inventory model of type (s, S) is considered under Nakagami distribution of demands. We first obtain the membership function of the fuzzy renewal function when the amount of demand has Nakagami ...

#### On The Boundary Functional Of The Random Walk With Two Barriers Related To Optimal Capacity Of The Buffer Stock

(Baku State Univ, Inst Applied Mathematics, 2018)

In this study, a boundary functional (N) of the semi-Markovian random walk (X (t)) with two special barriers is considered. The boundary functional N is defined as the first time when the random walk exits from the interval ...

#### On the limiting behavior of the characteristic function of the ergodic distribution of the semi-Markov walk with two boundaries

(Maik Nauka/Interperiodica/Springer, 2017-09)

The semi-Markov walk (X(t)) with two boundaries at the levels 0 and beta > 0 is considered. The characteristic function of the ergodic distribution of the processX(t) is expressed in terms of the characteristics of the ...

#### An Algorithm for the solution of second order Fuzzy Initial Value Problem

(Pergamon-Elsevier Science Ltd, 2013-01)

In this paper, we state a fuzzy initial value problem of the second order fuzzy differential equations. Here we investigate problems with fuzzy coefficients, fuzzy initial values and fuzzy forcing functions. We ...

#### The Class of L boolean AND D and Its Application to Renewal Reward Process

(Amer Inst Physics, 2018)

The class of L boolean AND D is generated by intersection of two important subclasses of heavy tailed distributions: The long tailed distributions and dominated varying distributions. This class itself is also an important ...

#### Three-term asymptotic expansion: A semi-Markovian random walk with a generalized beta distributed interference of chance

(Taylor & Francis Inc, 2017)

A semi-Markovian random walk process (X(t)) with a generalized beta distribution of chance is considered. The asymptotic expansions for the first four moments of the ergodic distribution of the process are obtained as ...

#### Asymptotic Rate for Weak Convergence of the Distribution of Renewal-Reward Process with a Generalized Reflecting Barrier

(Springer-Verlag Berlin, 2016)

In this study, a renewal-reward process (X(t)) with a generalized reflecting barrier is constructed mathematically and under some weak conditions, the ergodicity of the process is proved. The explicit form of the ergodic ...

#### Estimators of the Moments for the Inventory Model of Type (s, S)

(Springer International Publishing Ag, 2018-03)

The inventory model of type (s, S) is one of the most common used inventory models used in many problems of stock control. It is very important to know statistical characteristics such as the moments of the inventory model ...

#### Comparison of stochastic and random models for bacterial resistance

(Springer International Publishing Ag, 2017-05)

In this study, a mathematical model of bacterial resistance considering the immune system response and antibiotic therapy is examined under random conditions. A random model consisting of random differential equations is ...

#### On The Application Of Random Walk With Delay And Pareto Distributed Interference Of Chance To An Insurance Model

(Gazi Univ, 2016)

In this study, a semi-Markovian random walk with Pareto distributed interference of chance and delay is considered. Some exact formulas for the first four stationary moments of the process are obtained when the random ...

#### On the Stationary Distribution for a Fuzzy Inventory Model of Type (s,S) with Inverse Gaussian Distributed Demands

(Springer International Publishing Ag, 2018-12)

In this study, we consider a fuzzy inventory model of type (s,S) with random demands having an inverse Gaussian distribution. We first show the monotonicity of the renewal function with respect to mean parameter. Thus we ...

#### On the Moments of a Semi-Markovian Random Walk with Gaussian Distribution of Summands

(Taylor & Francis Inc, 2014-01)

In this article, a semi-Markovian random walk with delay and a discrete interference of chance (X(t)) is considered. It is assumed that the random variables (n), n=1, 2,..., which describe the discrete interference of ...

#### Weak convergence theorem for ergodic distribution of stochastic processes with discrete interference of chance and generalized reflecting barrier

(Siam Publications, 2016)

In this paper, a stochastic process with discrete interference of chance and generalized reflecting barrier (X (t)) is constructed and the ergodicity of this process is proved. Using basic identity for random walk processes, ...

#### Asymptotic Results for an Inventory Model of Type (s, S) with Asymmetric Triangular Distributed Interference of Chance and Delay

(Gazi Univ, 2018)

In this study, a semi - Markovian inventory model of type (s, S) is considered and the model is expressed by a modification of a renewal - reward process (X(t)) with an asymmetric triangular distributed interference of ...