In this paper, we give new characterizations of exponential distributions on positive semigroups and we study the corresponding gamma distributions that govern semigroup products of independent and ...
Let X1, X2, ⋯ be i.i.d. and Yk = max{X1, X2, ⋯, Xk}. Then Xj is a record value of the sequence if $Y_{j} > Y_{j - 1}$. Denoting record value times by Ln, n = 1, 2 ...
Continuous Variable: can take on any value between two specified values. Obtained by measuring. Discrete Variable: not continuous variable (cannot take on any value between two specified values).