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20142020
most citedAsymptotic Theory of Bayes Factor in Stochastic Differential Equations: Part II

4 citations · 6 across the 3 of their papers we have counts for

collaborators

9 papers

math.ST2020★ 1 cited

Increasing Domain Infill Asymptotics for Stochastic Differential Equations Driven by Fractional Brownian Motion

Trisha Maitra, Sourabh Bhattacharya

Although statistical inference in stochastic differential equations (SDEs) driven by Wiener process has received significant attention in the literature, inference in those driven…

math.ST2017

A Short Note on Almost Sure Convergence of Bayes Factors in the General Set-Up

Debashis Chatterjee, Trisha Maitra, Sourabh Bhattacharya

Although there is a significant literature on the asymptotic theory of Bayes factor, the set-ups considered are usually specialized and often involves independent and identically d…

math.ST2016

On Classical and Bayesian Asymptotics in Stochastic Differential Equations with Random Effects having Mixture Normal Distributions

Trisha Maitra, Sourabh Bhattacharya

Delattre et al. (2013) considered a system of stochastic differential equations (SDEs) in a random effects setup. Under the independent and identical (iid) situation, and assuming…

math.ST2016

On Asymptotic Inference in Stochastic Differential Equations with Time-Varying Covariates

Trisha Maitra, Sourabh Bhattacharya

In this article, we introduce a system of stochastic differential equations (SDEs) consisting of time-dependent covariates and consider both fixed and random effects set-ups. We al…

math.ST2015

On Classical and Bayesian Asymptotics in State Space Stochastic Differential Equations

Trisha Maitra, Sourabh Bhattacharya

In this article we investigate consistency and asymptotic normality of the maximum likelihood and the posterior distribution of the parameters in the context of state space stochas…

math.ST2015★ 4 cited

Asymptotic Theory of Bayes Factor in Stochastic Differential Equations: Part II

Trisha Maitra, Sourabh Bhattacharya

The problem of model selection in the context of a system of stochastic differential equations (SDEs) has not been touched upon in the literature. Indeed, properties of Bayes facto…

math.ST2015★ 1 cited

Asymptotic Theory of Bayes Factor in Stochastic Differential Equations: Part I

Trisha Maitra, Sourabh Bhattacharya

Research on asymptotic model selection in the context of stochastic differential equations (SDEs) is almost non-existent in the literature. In particular, when a collection of SDEs…

math.ST2014

On Bayesian Asymptotics in Stochastic Differential Equations with Random Effects

Trisha Maitra, Sourabh Bhattacharya

Delattre et al. (2013) investigated asymptotic properties of the maximum likelihood estimator of the population parameters of the random effects associated with n independent stoch…

math.ST2014

On Asymptotics Related to Classical Inference in Stochastic Differential Equations with Random Effects

Trisha Maitra, Sourabh Bhattacharya

Delattre et al. (2013) considered n independent stochastic differential equations (SDEs), where in each case the drift term is associated with a random effect, the distribution of…