6 papers
Combinatorial proofs of some identities on overpartitions with repeated smallest non-overlined part
Nayandeep Deka Baruah, Haijun Li, Pankaj Jyoti Mahanta
Let denote the number of overpartitions of where the smallest non-overlined part, say , appears times and every overlined part is bigge…
Operator Tail Densities of Multivariate Copulas
Haijun Li
Operator regular variation of a multivariate distribution can be decomposed into the operator tail dependence of the underlying copula and the regular variation of the univariate m…
Sequences of odd length in strict partitions IV: the combinatorics of parameterized Rogers-Ramanujan type identities
Haijun Li
In the first three papers, we conducted a series of discussions on the statistics of strict partitions and Rogers-Ramanujan partitions, specifically the sequences of odd length (de…
The combinatorics of identities involving overpartitions with distinct parts
Haijun Li
Recently, Andrews and EI Bachraoui discovered several companions for some famous -series formulas, and derived some new identities involving partitions and overpartitions with d…
Toward a Hazard Rate Framework for Regular and Rapid Variation
Haijun Li
Regular and rapid variation have been extensively studied in the literature and applied across various fields, particularly in extreme value theory. In this paper, we examine regul…
Tail Dependence of Multivariate Archimedean Copulas
Haijun Li
Archimedean copulas generated by Laplace transforms have been extensively studied in the literature, with much of the focus on tail dependence limited only to cases where the Lapla…