The laplace functional and moments for Markov branching chains in random environments

2005 ◽  
Vol 10 (3) ◽  
pp. 485-492
Author(s):  
Hu Di-he ◽  
Zhang Shu-lin
Keyword(s):  
Random Environments ◽  
Branching Chains

On determining absorption probabilities for Markov chains in random environments

1981 ◽  
Vol 13 (2) ◽  
pp. 369-387 ◽  
Author(s):  
Richard D. Bourgin ◽  
Robert Cogburn
Keyword(s):  
Markov Chain ◽  
Markov Chains ◽  
Random Environment ◽  
Efficient Method ◽  
General Framework ◽  
Random Environments ◽  
Extinction Probabilities ◽  
Environmental Process ◽  
Branching Chains ◽  
Absorption Probabilities

The general framework of a Markov chain in a random environment is presented and the problem of determining extinction probabilities is discussed. An efficient method for determining absorption probabilities and criteria for certain absorption are presented in the case that the environmental process is a two-state Markov chain. These results are then applied to birth and death, queueing and branching chains in random environments.

On determining absorption probabilities for Markov chains in random environments

1981 ◽  
Vol 13 (02) ◽  
pp. 369-387 ◽  
Author(s):  
Richard D. Bourgin ◽  
Robert Cogburn
Keyword(s):  
Markov Chain ◽  
Markov Chains ◽  
Random Environment ◽  
Efficient Method ◽  
General Framework ◽  
Random Environments ◽  
Extinction Probabilities ◽  
Environmental Process ◽  
Branching Chains ◽  
Absorption Probabilities

The general framework of a Markov chain in a random environment is presented and the problem of determining extinction probabilities is discussed. An efficient method for determining absorption probabilities and criteria for certain absorption are presented in the case that the environmental process is a two-state Markov chain. These results are then applied to birth and death, queueing and branching chains in random environments.

On calculating extinction probabilities for branching processes in random environments

1969 ◽  
Vol 6 (03) ◽  
pp. 478-492 ◽  
Author(s):  
William E. Wilkinson
Keyword(s):  
Generating Functions ◽  
Infinite Sequence ◽  
Branching Processes ◽  
Transition Probability ◽  
Transition Probability Matrix ◽  
Random Environments ◽  
Real Numbers ◽  
Discrete Time Markov Chain ◽  
Extinction Probabilities ◽  
Image Position

Consider a discrete time Markov chain {Zn } whose state space is the non-negative integers and whose transition probability matrix ║Pij ║ possesses the representation where {Pr }, r = 1,2,…, is a finite or denumerably infinite sequence of non-negative real numbers satisfying , and , is a corresponding sequence of probability generating functions. It is assumed that Z 0 = k, a finite positive integer.

Correlation between thermodynamic parameters (GLC) and structure of esters

1981 ◽  
Vol 59 (15) ◽  
pp. 2243-2246 ◽  
Author(s):  
F. Saura Calixto ◽  
P. M. Deyá
Keyword(s):  
Molecular Structure ◽  
Stationary Phase ◽  
Thermodynamic Parameters ◽  
Homologous Series ◽  
Phase Gazeuse ◽  
Carboxylic Group ◽  
Phase Stationnaire ◽  
De Formula ◽  
Branching Chains ◽  
Polar Stationary Phase

The ΔHs and [Formula: see text] values of some one hundred esters belonging to twenty different homologous series are determined experimentally in the polar stationary phase (Carbowax 1540) by gas–liquid chromatography.Correlations between thermodynamic values and the molecular structure of esters are studied. The influence of the number of carbon atoms in the acid and alcohol chains and the position of the carboxylic group and branching chains on the ΔHs and [Formula: see text] values is considered.Faisant appel à la chromatographie en phase gazeuse impliquant du Carbowax 1540 comme phase stationnaire on a déterminé expérimentalement les valeurs de ΔHs et de [Formula: see text] d'une centaine d'esters appartenant à 20 séries homologues différentes.

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