94 citations · 200 across the 15 of their papers we have counts for
17 papers
A Benchmark Study of Classical and Dual Polynomial Regression (DPR)-Based Probability Density Estimation Technique
Shantanu Sarkar, Mousumi Sinha, Dexter Cahoy
The probability density function (PDF) plays a central role in statistical and machine learning modeling. Real-world data often deviates from Gaussian assumptions, exhibiting skewn…
Combining Data from Surveys and Related Sources
Dexter Cahoy, Joseph Sedransk
To improve the precision of inferences and reduce costs there is considerable interest in combining data from several sources such as sample surveys and administrative data. Approp…
Bayesian inference for asymptomatic COVID-19 infection rates
Dexter Cahoy, Joseph Sedransk
To strengthen inferences meta analyses are commonly used to summarize information from a set of independent studies. In some cases, though, the data may not satisfy the assumptions…
Flexible models for overdispersed and underdispersed count data
Dexter Cahoy, Elvira Di Nardo, Federico Polito
Within the framework of probability models for overdispersed count data, we propose the generalized fractional Poisson distribution (gfPd), which is a natural generalization of the…
Estimation of Mittag-Leffler Parameters
Dexter Cahoy
We propose a procedure for estimating the parameters of the Mittag-Leffler (ML) and the generalized Mittag-Leffler (GML) distributions. The algorithm is less restrictive, computati…
Parameter estimation for fractional Poisson processes
Dexter Cahoy, Vladimir V. Uchaikin, Wojbor A. Woyczynski
The paper proposes a formal estimation procedure for parameters of the fractional Poisson process (fPp). Such procedures are needed to make the fPp model usable in applied situatio…
A bootstrap test for equality of variances
Dexter Cahoy
We introduce a bootstrap procedure to test the hypothesis that variances are homogeneous. The procedure uses a variance-based statistic, and is derived from a normal-th…
Log-moment estimators for the generalized Linnik and Mittag-Leffler distributions with applications to financial modeling
Dexter O. Cahoy, Wojbor A. Woyczyński
We propose formal estimation procedures for the parameters of the generalized, three-parameter Linnik and Mittag-Leffler distributions. The estimators ar…
Inverse stable prior for exponential models
Dexter Cahoy, Joseph Sedransk
We consider a class of non-conjugate priors as a mixing family of distributions for a parameter (e.g., Poisson or gamma rate, inverse scale or precision of an inverse-gamma, invers…
Inference for three-parameter M-Wright distributions with applications
Dexter Cahoy, Sharifa Minkabo
We propose point estimators for the three-parameter (location, scale, and the fractional parameter) variant distributions generated by a Wright function. We also provide uncertaint…
An estimation procedure for the Linnik distribution
Dexter Cahoy
We propose estimators for the parameters of the Linnik L distribution. The estimators are derived from the moments of the log-transformed Linnik distributed random variable,…
Parameter estimation for fractional birth and fractional death processes
Dexter O. Cahoy, Federico Polito
The fractional birth and the fractional death processes are more desirable in practice than their classical counterparts as they naturally provide greater flexibility in modeling g…
Renewal processes based on generalized Mittag--Leffler waiting times
Dexter O. Cahoy, Federico Polito
The fractional Poisson process has recently attracted experts from several fields of study. Its natural generalization of the ordinary Poisson process made the model more appealing…
Simulation and estimation for the fractional Yule process
Dexter O. Cahoy, Federico Polito
In this paper, we propose some representations of a generalized linear birth process called fractional Yule process (fYp). We also derive the probability distributions of the rando…
Transient behavior of fractional queues and related processes
Dexter O. Cahoy, Federico Polito, Vir V. Phoha
We propose a generalization of the classical M/M/1 queue process. The resulting model is derived by applying fractional derivative operators to a system of difference-differential…
On a fractional binomial process
Dexter O. Cahoy, Federico Polito
The classical binomial process has been studied by \citet{jakeman} (and the references therein) and has been used to characterize a series of radiation states in quantum optics. In…
Fractional processes: from Poisson to branching one
Vladimir V. Uchaikin, Dexter O. Cahoy, Renat T. Sibatov
Fractional generalizations of the Poisson process and branching Furry process are considered. The link between characteristics of the processes, fractional differential equations a…