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STOCHASTIC ORDERINGS OF MULTIVARIATE ELLIPTICAL DISTRIBUTIONS

期刊: JOURNAL OF APPLIED PROBABILITY, 2021; 58 (2)

For two n-dimensional elliptical random vectors X and Y, we establish an identity for E[f (Y)]- E[f (X)], where f : R-n -> R satisfies some regular......

Risk-sensitive average continuous-time Markov decision processes with unbounded transition and cost rates

期刊: JOURNAL OF APPLIED PROBABILITY, 2021; 58 (2)

This paper considers risk-sensitive average optimization for denumerable continuous-time Markov decision processes (CTMDPs), in which the transition a......

GIBBS PARTITIONS, RIEMANN-LIOUVILLE FRACTIONAL OPERATORS, MITTAG-LEFFLER FUNCTIONS, AND FRAGMENTATIONS DERIVED FROM STABLE SUBORDINATORS

期刊: JOURNAL OF APPLIED PROBABILITY, 2021; 58 (2)

Pitman (2003), and subsequently Gnedin and Pitman (2006), showed that a large class of random partitions of the integers derived from a stable subordi......

Exact simulation of Ornstein-Uhlenbeck tempered stable processes

期刊: JOURNAL OF APPLIED PROBABILITY, 2021; 58 (2)

There are two types of tempered stable (TS) based Ornstein-Uhlenbeck (OU) processes: (i) the OU-TS process, the OU process driven by a TS subordinator......

Population dynamics driven by truncated stable processes with Markovian switching

期刊: JOURNAL OF APPLIED PROBABILITY, 2021; 58 (2)

We focus on the population dynamics driven by two classes of truncated a-stable processes with Markovian switching. Almost necessary and sufficient co......

LYAPUNOV-TYPE CONDITIONS FOR NON-STRONG ERGODICITY OF MARKOV PROCESSES

期刊: JOURNAL OF APPLIED PROBABILITY, 2021; 58 (1)

We present Lyapunov-type conditions for non-strong ergodicity of Markov processes. Some concrete models are discussed, including diffusion processes o......

SCALE-FREE PERCOLATION IN CONTINUOUS SPACE: QUENCHED DEGREE AND CLUSTERING COEFFICIENT

期刊: JOURNAL OF APPLIED PROBABILITY, 2021; 58 (1)

Spatial random graphs capture several important properties of real-world networks. We prove quenched results for the continuous-space version of scale......

On geometric and algebraic transience for block-structured Markov chains

期刊: JOURNAL OF APPLIED PROBABILITY, 2020; 57 (4)

Block-structured Markov chains model a large variety of queueing problems and have many important applications in various areas. Stability properties ......

Small-Time smile for the multifactor volatility heston model

期刊: JOURNAL OF APPLIED PROBABILITY, 2020; 57 (4)

We extend the existing small-time asymptotics for implied volatilities under the Heston stochastic volatility model to the multifactor volatility Hest......

ON SOME THRESHOLD-ONE ATTRACTIVE INTERACTING PARTICLE SYSTEMS ON HOMOGENEOUS TREES

期刊: JOURNAL OF APPLIED PROBABILITY, 2020; 57 (3)

We consider the threshold-one contact process, the threshold-one voter model and the threshold-one voter model with positive spontaneous death on homo......

Stochastic comparisons of largest-order statistics for proportional reversed hazard rate model and applications

期刊: JOURNAL OF APPLIED PROBABILITY, 2020; 57 (3)

We investigate stochastic comparisons of parallel systems (corresponding to the largest-order statistics) with respect to the reversed hazard rate and......

AN INVARIANCE PRINCIPLE AND A LARGE DEVIATION PRINCIPLE FOR THE BIASED RANDOM WALK ON Z(d)

期刊: JOURNAL OF APPLIED PROBABILITY, 2020; 57 (1)

We establish an invariance principle and a large deviation principle for a biased random walk RW. with.. [0, 1) on Zd. The scaling limit in the invari......

Long-time behavior of Levy-driven Ornstein-Uhlenbeck processes with regime switching

期刊: JOURNAL OF APPLIED PROBABILITY, 2020; 57 (1)

We investigate the long-time behavior of the Ornstein-Uhlenbeck process driven by Levy noise with regime switching. We provide explicit criteria on th......

Weak convergence of random processes with immigration at random times

期刊: JOURNAL OF APPLIED PROBABILITY, 2020; 57 (1)

By a random process with immigration at random times we mean a shot noise process with a random response function (response process) in which shots oc......

Branching processes in a random environment with immigration stopped at zero

期刊: JOURNAL OF APPLIED PROBABILITY, 2020; 57 (1)

A critical branching process with immigration which evolves in a random environment is considered. Assuming that immigration is not allowed when there......

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