KETERBAGIAN TAK HINGGA DISTRIBUSI LOG-GAMMA DAN APLIKASINYA DALAM PEMBUKTIAN RUMUS PERKALIAN GAUSS DAN RUMUS LEGENDRE

Authors

  • Mishbah Ulhusna

DOI:

https://doi.org/10.25077/jmu.2.3.28-33.2013

Abstract

Jika diberikan suatu peubah acak Y = α log X, dimana X adalah peubah
acak berdistribusi Gamma, α ∈ R dan Y adalah peubah acak berdistribusi Log-Gamma,
maka dengan menggunakan representasi kanonik fungsi karakteristik dapat ditentukan
ukuran Levy untuk distribusi Log-Gamma yang merupakan distribusi terbagi tak hingga.
Representasi kanoniknya dapat digunakan untuk membuktikan rumus perkalian Gauss
dan rumus Legendre.

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Published

10-09-2013

Issue

Vol. 2 No. 3 (2013)

Section

Articles

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