Handbook of Tables for Order Statistics from Lognormal Distributions with Applications

Authors: Balakrishnan, N, Chen, W.S.

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About this book

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.

Table of contents (7 chapters)

  • Introduction and Historical Remarks

    Balakrishnan, N. (et al.)

    Pages 1-4

  • Lognormal Distributions and Properties

    Balakrishnan, N. (et al.)

    Pages 5-6

  • Order Statistics and Moments

    Balakrishnan, N. (et al.)

    Pages 7-12

  • Best Linear Unbiased Estimation of Location and Scale Parameters

    Balakrishnan, N. (et al.)

    Pages 13-15

  • Illustrative Examples

    Balakrishnan, N. (et al.)

    Pages 17-30

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-1-4615-5309-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $359.00
price for USA
  • ISBN 978-0-7923-5634-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
price for USA
  • ISBN 978-0-7923-5712-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Handbook of Tables for Order Statistics from Lognormal Distributions with Applications
Authors
Copyright
1999
Publisher
Springer US
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-1-4615-5309-0
DOI
10.1007/978-1-4615-5309-0
Hardcover ISBN
978-0-7923-5634-9
Softcover ISBN
978-0-7923-5712-4
Edition Number
1
Number of Pages
XIII, 868
Topics