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Analytically Computing the Moments of a Conic Combination of Independent Noncentral Chi-Square Random Variables and Its Application for the Extended Cox–Ingersoll–Ross Process with Time-Varying Dimension

Sanae Rujivan, Athinan Sutchada, Kittisak Chumpong, Napat Rujeerapaiboon • Mathematics (2023)

This paper focuses mainly on the problem of computing the γth, γ>0, moment of a random variable Yn:=∑i=1nαiXi in which the αi’s are positive real numbers and the Xi’s are independent and distributed according to noncentral chi-square distri...

DOAJ Open Access (DOAJ) DOI: 10.3390/math11051276

A new extension of linear failure rate distribution with estimation, simulation, and applications

Najwan Alsadat, Mohammed Elgarhy, Amal S. Hassan, Hijaz Ahmad et al. • AIP Advances (2023)

In this article, we provide a new three-parameter model derived from the newly reduced Cauchy power-G family and linked to the linear failure rate model. The truncated Cauchy power linear failure rate (TCPLFR) is the name given to this dist...

DOAJ Open Access (DOAJ) DOI: 10.1063/5.0170297