Distribution function values for logstable distributions

✍ Scribed by Don B. Panton

• Publisher: Elsevier Science
• Year: 1993
• Tongue: English
• Weight: 484 KB
• Volume: 25
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/0898-1221(93)90128-i

✦ Synopsis

kbstract--The logstable distribution in its simplest form mn~ be defined as the distribution of a variate whose logaritlun obeys the stable law of probability. This paper tabulates the distribution functions (c.d.f.) of standardized logstable distributions, the standardization being such that the special values a = 1.0, a --2.0 correspond to the standard log-Cauchy and lognormal cases as usually defined. Results of Worsdale [1] are used to compute tables for the distribution functions of logstable distributions for fifteen values of the characteristic exponent between a = 0.6 and 2.0.