Estimation of a rare sensitive attribute in two-stage sampling using a randomized response model under Poisson distribution

Singh, G. N.; Suman, S.; Singh, Chandraketu

doi:10.1080/08898480.2018.1553404

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2020

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“…en, Long et al [8] tackled the least squares estimators for discretely observed stochastic processes driven by small Lévy noises. Singh et al [12] utilized a randomized response model under Poisson distribution to estimate a rare sensitive attribute in two-stage sampling. Wei [13] used least squares estimation to discuss the discretely observed CoxCInger-sollCRoss model driven by small symmetrical stable noises and studied the consistency and asymptotic distribution of the estimators.…”

Section: Introductionmentioning

confidence: 99%

Least Squares Estimation for Discretely Observed Stochastic Lotka–Volterra Model Driven by Small $α$ -Stable Noises

Wei

Zhou

2020

Discrete Dynamics in Nature and Society

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Stochastic Lotka–Volterra model driven by small α -stable noises is used to describe population dynamics perturbed by random environment. However, parameters in the model are always unknown. The contrast function is given to obtain least squares estimators. The consistency and the rate of convergence of the least squares estimators are proved, and the asymptotic distribution of the estimators are derived by Markov inequality, Cauchy–Schwarz inequality, and Gronwall’s inequality. Some numerical examples are provided to verify the effectiveness of the estimators.

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Section: Introductionmentioning

confidence: 99%

Least Squares Estimation for Discretely Observed Stochastic Lotka–Volterra Model Driven by Small $α$ -Stable Noises

Wei

Zhou

2020

Discrete Dynamics in Nature and Society

View full text Add to dashboard Cite

show abstract

Estimation of a rare sensitive attribute in two-stage sampling using a randomized response model under Poisson distribution

Cited by 1 publication

References 10 publications

Least Squares Estimation for Discretely Observed Stochastic Lotka–Volterra Model Driven by Small $α$ -Stable Noises

Least Squares Estimation for Discretely Observed Stochastic Lotka–Volterra Model Driven by Small $α$ -Stable Noises

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Estimation of a rare sensitive attribute in two-stage sampling using a randomized response model under Poisson distribution

Cited by 1 publication

References 10 publications

Least Squares Estimation for Discretely Observed Stochastic Lotka–Volterra Model Driven by Small α -Stable Noises

Least Squares Estimation for Discretely Observed Stochastic Lotka–Volterra Model Driven by Small α -Stable Noises

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Product

Resources

About

Least Squares Estimation for Discretely Observed Stochastic Lotka–Volterra Model Driven by Small $α$ -Stable Noises

Least Squares Estimation for Discretely Observed Stochastic Lotka–Volterra Model Driven by Small $α$ -Stable Noises