We develop a family of tractable models for UAV mobility. Based on system coupled stochastic differential equations, the resulting exhibit realistic trajectories and flexible covariance structures, making them suitable both small scale large applications. Closed form solutions steady state transient position distributions, as well covariance, are derived. These results subsequently used to obta...

The phase advanced sleep model is used to induce transient insomnia, where subjects go to sleep several hours before their usual bedtime disrupting their normal sleep architecture. The ability of a drug to allow a subject to sleep during this otherwise normal wake time may predict efficacy in insomnia patients. The aims of this work were to: (1) model sleep stage transition probabilities from p...

a number of innocent rashes occurs in neonates. they are usually transient and self limited and thus require no therapy but early recognition is important to distinguish these lesions from more serious disorders. in this study, our purpose was to determine the frequency of birthmarks in iranian neonates. the presence of various types of birthmarks was determined in 503 iranian neonates under 72...

Abstract: This paper aims at presenting an alternate approach to derive the exact transient solution of Markovian queues. The continued fraction (Jacobi fraction) is expressed as power series and the power series coefficients are connected by a two-dimensional recurrence relation associated with infinite Stieltjes matrix equation. The recurrence relation is solved by using generating functions....

We study the large deviations of excited random walks on Z. We prove a large deviation principle for both the hitting times and the position of the random walk and give a qualitative description of the respective rate functions. When the excited random walk is transient with positive speed v0, then the large deviation rate function for the position of the excited random walk is zero on the inte...

In this paper an extended Viterbi algorithm is presented for first-order hidden Markov processes, with the help of a dummy combined state sequence. For this, the Markov switching’s transient probabilities and steady probabilities are studied separately. The algorithm gives a maximum likelihood estimate for the state sequence of a hidden Markov process. Comparing with the standard Viterbi algori...

We present a Bayesian approach to modeling dynamic smoking addiction behavior processes when cure is not directly observed due to censoring. Subject-specific probabilities model the stochastic transitions among three behavioral states: smoking, transient quitting, and permanent quitting (absorbent state). A multivariate normal distribution for random effects is used to account for the potential...

We prove that a recurrent random walk (RW) in i.i.d. random environment (RE) on a strip which does not obey the Sinai law exhibits the Central Limit asymptotic behaviour. We also show that there exists a collection of proper subvarieties in the space of transition probabilities such that • If RE is stationary and ergodic and the transition probabilities are concentrated on one of subvarieties f...

A network dimensioning method allocates appropriate capacities to the links based on the network topology and traffic requirements. In this paper, we introduce the concept of absorption probability instead of blocking probability which is a more appropriate measure to express the grade of service of an optical network, in many cases. Absorption probability can be obtained from transient analysi...