In this paper, we consider the function f p ( t )= 2p X 2 ( 2p t+p;p ) , where χ²(x; n) defined by X 2 ( x;p )= 2 −p/2 Γ( p/2 ) e −x/2 x p/2−1 , is the density function of a χ²-distribution with n ...

Discover how probability distribution methods can help predict stock market returns and improve investment decisions. Learn ...

Advances in Applied Probability, Vol. 19, No. 3 (Sep., 1987), pp. 632-651 (20 pages) We consider a class of functions on [0,∞), denoted by Ω , having Laplace transforms with only negative zeros and ...

Probability theory forms the mathematical backbone for quantifying uncertainty and random events, providing a rigorous language with which to describe both everyday phenomena and complex scientific ...

Our eLibrary offers over 25,000 IMF publications in multiple formats. Building on the widely-used double-lognormal approach by Bahra (1997), this paper presents a multi-lognormal approach with ...