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[3:30pm] Ujjwal Das, IIM Udaipur, Rajasthan
- Description:
- Statistics Seminar.
Speaker: Ujjwal Das.
Affiliation: IIM Udaipur, Rajasthan.
Date and Time: Tuesday 02 April, 3:30 pm - 4:30 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Inference on zero inflated ordinal models with semiparametric link.
Abstract: In socioeconomic and Biological studies, observations on
individuals are often observed longitudinally on a Likert-type scale with
substantially large proportion of zeros. This leads to a special case of
mixture structured data where extra-variation occurs. Obviously the
standard ordinal data analysis fails to provide appropriate statistical
inference. We propose a suitable zero inflated semi parametric ordinal
model that takes into account the non linear link between the ordinal
response and a covariate. A sieve maximum likelihood estimator(MLE) is
proposed for the regression parameter of interest. We also propose a test
for the zero proportion in this semi parametric model. A simulation study
has been carried out to investigate the performance of the estimator as
well as the test.
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