Statistical Inference Based on Kernel Distribution Function Estimators : SpringerBriefs in Statistics - Rizky Reza Fauzi

Instant online reading.
Don't wait for delivery!

Statistical Inference Based on Kernel Distribution Function Estimators

By: Rizky Reza Fauzi, Yoshihiko Maesono

Write A Review

Paperback | 1 June 2023

At a Glance

Paperback
106 Pages

Dimensions(cm)
23.5 x 15.5 x 0.64

Paperback

$74.99

or 4 interest-free payments of $18.75 with

or

Ships in 5 to 7 business days

This book presents a study of statistical inferences based on the kernel-type estimators of distribution functions. The inferences involve matters such as quantile estimation, nonparametric tests, and mean residual life expectation, to name just some. Convergence rates for the kernel estimators of density functions are slower than ordinary parametric estimators, which have root-n consistency. If the appropriate kernel function is used, the kernel estimators of the distribution functions recover the root-n consistency, and the inferences based on kernel distribution estimators have root-n consistency. Further, the kernel-type estimator produces smooth estimation results. The estimators based on the empirical distribution function have discrete distribution, and the normal approximation cannot be improved-that is, the validity of the Edgeworth expansion cannot be proved. If the support of the population density function is bounded, there is a boundary problem, namely the estimator does not have consistency near the boundary. The book also contains a study of the mean squared errors of the estimators and the Edgeworth expansion for quantile estimators.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $89.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.