Properties of Lagrangian distributions. Issue 3 (1st February 2016)

• Record Type: Journal Article
• Authors: Imoto, Tomoaki
• Is Part Of: Communications in statistics. Volume 45:Issue 3(2016)
• Page Start: 712
• Page End: 721
• Publication Date: 2016-02-01
• Subjects: Generalized negative binomial distribution -- Lagrange's expansion -- Lagrangian non central negative binomial distribution -- Tandem queue; 60E05; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2013.835414
• Languages: English
• ISSNs: 0361-0926

Abstract

Abstract: Lagrange's expansion is the power series expansion of the inverse function of an analytic function, and it leads to general Lagrangian distributions of the first kind as well as of the second kind. We present some theorems in which different sets of two analytic functions provide a Lagrangian distribution. Potential applicability of the theorem to tandem queueing process is studied.