Handbook of Tables for Order Statistics from Lognormal Distributions with Applications

N. Balakrishnan

ISBN 10: 0792357124 / ISBN 13: 9780792357124

Edité par Springer Us Mär 1999, 1999

A propos de cet article

Neuware - Lognormal distributions are one of the most commonly studied models in the sta tistical literature while being most frequently used in the applied literature. The lognormal distributions have been used in problems arising from such diverse fields as hydrology, biology, communication engineering, environmental science, reliability, agriculture, medical science, mechanical engineering, material science, and pharma cology. Though the lognormal distributions have been around from the beginning of this century (see Chapter 1), much of the work concerning inferential methods for the parameters of lognormal distributions has been done in the recent past. Most of these methods of inference, particUlarly those based on censored samples, involve extensive use of numerical methods to solve some nonlinear equations. Order statistics and their moments have been discussed quite extensively in the literature for many distributions. It is very well known that the moments of order statistics can be derived explicitly only in the case of a few distributions such as exponential, uniform, power function, Pareto, and logistic. In most other cases in cluding the lognormal case, they have to be numerically determined. The moments of order statistics from a specific lognormal distribution have been tabulated ear lier. However, the moments of order statistics from general lognormal distributions have not been discussed in the statistical literature until now primarily due to the extreme computational complexity in their numerical determination.

N° de réf. du vendeur 9780792357124

Détails bibliographiques

• Titre: Handbook of Tables for Order Statistics from Lognormal Distributions with Applications
• Éditeur: Springer Us Mär 1999
• Date de parution: 1999
• Langue: anglais
• ISBN à 10 chiffres: 0792357124
• ISBN à 13 chiffres: 9780792357124
• Reliure: Taschenbuch
• État de l'article: Neu
• Dimensions: 235 L x 155 H x 48 P (en millimètres) 235 millimètres de largeur par 155 millimètres de hauteur par 48 millimètres de profondeur
• Poids: 1311 grammes

A propos de ce titre

Synopsis

Lognormal distributions are one of the most commonly studied models in the sta- tistical literature while being most frequently used in the applied literature. The lognormal distributions have been used in problems arising from such diverse fields as hydrology, biology, communication engineering, environmental science, reliability, agriculture, medical science, mechanical engineering, material science, and pharma- cology. Though the lognormal distributions have been around from the beginning of this century (see Chapter 1), much of the work concerning inferential methods for the parameters of lognormal distributions has been done in the recent past. Most of these methods of inference, particUlarly those based on censored samples, involve extensive use of numerical methods to solve some nonlinear equations. Order statistics and their moments have been discussed quite extensively in the literature for many distributions. It is very well known that the moments of order statistics can be derived explicitly only in the case of a few distributions such as exponential, uniform, power function, Pareto, and logistic. In most other cases in- cluding the lognormal case, they have to be numerically determined. The moments of order statistics from a specific lognormal distribution have been tabulated ear- lier. However, the moments of order statistics from general lognormal distributions have not been discussed in the statistical literature until now primarily due to the extreme computational complexity in their numerical determination.