Minimum quadratic distance estimation for a parametric family of discrete distributions defined recursively

A Luong, J Garrido - Australian Journal of Statistics, 1993 - Wiley Online Library
The distribution function of a random sum can easily be computed iteratively when the
distribution of the number of independent identically distributed elements in the sum is itself …

On mean scaled insurance risk models

W Hürlimann - Blätter der DGVFM, 1998 - Springer
A characterization problem for scale compound parametric families of distributions with the
mean as scale parameter is analyzed. If the counting distribution of the compound family has …

Annuity distributions: A new class of compound Poisson distributions

CM Ramsay - Insurance: Mathematics and Economics, 1993 - Elsevier
A discrete random variable N is said to have an annuity distribution if its probabilities satisfy
the recursion pn= p n-1 (a+ b/cn), n= 1, 2, 3,… where a and b are real constants and cn=(1 …

[PDF][PDF] integral equations for the aggregate claim amount

CG Pacheco-González - Revista de Matemática: Teoría y Aplicaciones, 2011 - scielo.sa.cr
In the context of insurance mathematics, we study the renewal properties of the so-called
aggregate claim amount for the non-discounted and the discounted case. For these models …

[PDF][PDF] Backward Difference Recursions and Infinite Series Representations in Computational Risk Theory.

W HÜRLIMANN - Journal of Numerical Mathematics & Stochastics, 2016 - jnmas.org
Some new developments in computational discrete probability are carried out. The obtained
recursions exploit the one-to-one correspondence between the probability function and the …

[引用][C] 索赔额服从混合指数分布的破产概率及其渐近估计

许璐, 赵闻达, 余茜茜 - 五邑大学学报: 自然科学版, 2013

[引用][C] 索赔额服从爱尔朗分布的破产概率及渐近估计

许璐, 李媛媛 - 海南大学学报(自然科学版), 2013

[引用][C] 索赔总额服从几何分布的破产概率及渐近估计

许璐 - 新疆师范大学学报(自然科学版), 2003

[引用][C] 索赔额服从卡方分布的破产概率及其渐近估计

许璐, 陈才刚, 付小兰 - 江汉大学学报: 自然科学版, 2013

[引用][C] 索赔额服从正态分布的破产概率及渐近估计

许璐, 任秀伟, 李碧云 - 江汉大学学报: 自然科学版, 2015