𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Convolutions of K/(1 + χn)

✍ Scribed by S. Nadarajah; A.K. Gupta

Book ID
104007460
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
382 KB
Volume
48
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

Consider

the probability density functions (pdfs) f (x) = K/(l+x n) for x > 0 and n >_ 2.

Pdfs of this form arise in many areas of mathematical statistics and probability theory. In this note, we derive explicit algebraic expressions for the convolutions of this pdf for n = 2, 3, 4, 5, 6. We believe that these results will be useful to theoreticians in many areas of mathematical statistics and probability theory.

📜 SIMILAR VOLUMES

Upper critical field of Ba1−χKχBiO3 sing
Upper critical field of Ba1−χKχBiO3 single crystal
✍ C. Escribe-Filippini; J. Marcus; M. Affronte; H. Rakoto; J.M. Broto; J.C. Ousset 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 440 KB

We measured the upper critical field Hcz on Bar \_XK,BiOs (0.35 <x-z 0.40) single crystal down to 2 Kin pulsed magnetic fields up to 35 T. Resistive transitions in the magnetic field systematically shift as the temperature decreases and thepH curves saturate for high enough magnetic field strength.