This is an analog of the matrix case for a limiting probability vector of a transition probability matrix arising from the first-order Markov chain. We show that if is a transition probability tensor, then solutions of this -eigenvalue problem exist. When is irreducible, all the entries of ...
Find the stationary distribution ππ for this chain. Solution Similar to the case of discrete-time Markov chains, we are interested in limiting distributions for continuous-time Markov chains. Limiting Distributions The probability distribution π=[π0,π1,π2,⋯]π=[π0,π1,π2,⋯] ...
The intercept for a given demographic rate was given a logit-transformed uniform U(0,1) prior distribution on the probability scale for individuals marked in the eastern portion of the wDPS range. For individuals marked in the western portion of the wDPS range where samples sizes were smaller...
G. Vamvakari, “On a q-Analogue of the Stirling Formula and a Continuous Limiting Behaviour of the q-Binomial Distribution-Numerical Calculations,” Methodology and Computing in Applied Probability, 2011, pp. 1-27. [2] Ch. A. Charalambides, “Discrete q-Distributions on Bernoulli Trials with...
pi gene-specific initiation probability ∼3.5 × 10−6–0.115 (Experimental Procedures) n number of genes 3,795 (Ingolia et al., 2009) Dr diffusion coefficient of ribosomes 3× 10−13 m2/s (Politz et al., 2003) Dt diffusion coefficient of tRNAs 8.42 × 10−11 m2/s (Werner, ...
Two situations are considered: (i) \\s{ X n, n 0\\s} has a limiting distribution (ii) \\s{ X n, n 0\\s} does not have a limiting distribution and exits every finite set with probability 1. Several examples are considered including that of a non-homogeneous ...
Methodology & Computing in Applied ProbabilityKyriakoussis A, Vamvakari MG (2010) On a q -steady state Markov chain model based on transformed dual q -Krawtchouk orthogonal polynomials and its limiting behaviour. Methodol Comput Appl Probab 12:667–679...
hidden Markov chain60K3060J20The stochastic sequential assignment problem assigns distinct workers to sequentially arriving tasks with stochastic parameters. In this paper the assignments are performed so as to minimize the threshold probability, which is the probability of the long-run reward per task...
Assuming the same reproducing system, we construct an equilibrium distribution by a coupling argument.doi:10.1017/jpr.2018.50Jesper MllerAndreas D. ChristoffersenJournal of Applied Probability
We also describe the testable properties of a fuzzy-probability chain which will guarantee existence of a unique limiting set, give a test for elements in or arbitrarily close to the limiting set, and give a method for approximating the stationary set to any desired degree of accuracy with ...