Titre de série :	Hydrology papers
Titre :	Range and deficit analysis using markov chains
Type de document :	texte imprimé
Auteurs :	Gamide, F. L. S
Mention d'édition :	Colorado State University
Editeur :	Colorado state University
Année de publication :	1975
ISBN/ISSN/EAN :	CI-05138
Note générale :	Two properties of the partial sums of random variavles are investigated : the range and the maximum accumulated deficit. The relevance of this study follows from the fact that the range used in the design of storage capacoties for full regulation of river discharge and the maximum accumulated deficit is used in the case of partial regulation. Similarly, a general approach to the distribution of the maximum accumulated deficit of partial sums of independent candom variables is developed. Starting with discrete random variables, the distribution of the maximum accumulated deficit is shown to follow from the theory of markov chains, when the state space is such that one boundary state is absorbing and the other is reflecting. By analogy, the distribution of the maximum accumulated deficit of partial sums of continuous, independant random variables is obtained.
Langues :	Anglais (eng)
Mots-clés :	Déficit  Mathématique  Hydrologie
Index. décimale :	551.48 Hydrologie :
Résumé :	Two properties of the partial sums of random variavles are investigated : the range and the maximum accumulated deficit. The relevance of this study follows from the fact that the range used in the design of storage capacoties for full regulation of river discharge and the maximum accumulated deficit is used in the case of partial regulation. Similarly, a general approach to the distribution of the maximum accumulated deficit of partial sums of independent candom variables is developed. Starting with discrete random variables, the distribution of the maximum accumulated deficit is shown to follow from the theory of markov chains, when the state space is such that one boundary state is absorbing and the other is reflecting. By analogy, the distribution of the maximum accumulated deficit of partial sums of continuous, independant random variables is obtained.
Note de contenu :	Two properties of the partial sums of random variavles are investigated : the range and the maximum accumulated deficit. The relevance of this study follows from the fact that the range used in the design of storage capacoties for full regulation of river discharge and the maximum accumulated deficit is used in the case of partial regulation. Similarly, a general approach to the distribution of the maximum accumulated deficit of partial sums of independent candom variables is developed. Starting with discrete random variables, the distribution of the maximum accumulated deficit is shown to follow from the theory of markov chains, when the state space is such that one boundary state is absorbing and the other is reflecting. By analogy, the distribution of the maximum accumulated deficit of partial sums of continuous, independant random variables is obtained.

Hydrology papers. Range and deficit analysis using markov chains [texte imprimé] / Gamide, F. L. S  . -  Colorado State University . - Colorado state University, 1975.
ISSN : CI-05138
Two properties of the partial sums of random variavles are investigated : the range and the maximum accumulated deficit. The relevance of this study follows from the fact that the range used in the design of storage capacoties for full regulation of river discharge and the maximum accumulated deficit is used in the case of partial regulation. Similarly, a general approach to the distribution of the maximum accumulated deficit of partial sums of independent candom variables is developed. Starting with discrete random variables, the distribution of the maximum accumulated deficit is shown to follow from the theory of markov chains, when the state space is such that one boundary state is absorbing and the other is reflecting. By analogy, the distribution of the maximum accumulated deficit of partial sums of continuous, independant random variables is obtained.
Langues : Anglais (eng)

Mots-clés :	Déficit  Mathématique  Hydrologie
Index. décimale :	551.48 Hydrologie :
Résumé :	Two properties of the partial sums of random variavles are investigated : the range and the maximum accumulated deficit. The relevance of this study follows from the fact that the range used in the design of storage capacoties for full regulation of river discharge and the maximum accumulated deficit is used in the case of partial regulation. Similarly, a general approach to the distribution of the maximum accumulated deficit of partial sums of independent candom variables is developed. Starting with discrete random variables, the distribution of the maximum accumulated deficit is shown to follow from the theory of markov chains, when the state space is such that one boundary state is absorbing and the other is reflecting. By analogy, the distribution of the maximum accumulated deficit of partial sums of continuous, independant random variables is obtained.
Note de contenu :	Two properties of the partial sums of random variavles are investigated : the range and the maximum accumulated deficit. The relevance of this study follows from the fact that the range used in the design of storage capacoties for full regulation of river discharge and the maximum accumulated deficit is used in the case of partial regulation. Similarly, a general approach to the distribution of the maximum accumulated deficit of partial sums of independent candom variables is developed. Starting with discrete random variables, the distribution of the maximum accumulated deficit is shown to follow from the theory of markov chains, when the state space is such that one boundary state is absorbing and the other is reflecting. By analogy, the distribution of the maximum accumulated deficit of partial sums of continuous, independant random variables is obtained.