# Testing Equivalence of Multinomial Distributions

@article{Ostrovski2016TestingEO, title={Testing Equivalence of Multinomial Distributions}, author={Vladimir Ostrovski}, journal={Behavioral \& Experimental Accounting eJournal}, year={2016} }

We introduce the smooth total variation distance as a natural choice to establish equivalence. We propose asymptotic and bootstrap-based tests for which asymptotic optimality is shown. The finite sample performance is studied by simulations. Then we apply tests to real data sets.

## 3 Citations

### Testing Equivalence to Families of Multinomial Distributions with Application to the Independence Model

- MathematicsStatistics & Probability Letters
- 2018

### New Equivalence Tests for Approximate Independence in Contingency Tables

- MathematicsStats
- 2019

We introduce new equivalence tests for approximate independence in two-way contingency tables. The critical values are calculated asymptotically. The finite sample performance of the tests is…

### Testing equivalence to binary generalized linear models with application to logistic regression

- Computer ScienceStatistics & Probability Letters
- 2022

## References

SHOWING 1-10 OF 14 REFERENCES

### Efficient and Adaptive Estimation for Semiparametric Models

- Mathematics
- 1993

Introduction.- Asymptotic Inference for (Finite-Dimensional) Parametric Models.- Information Bounds for Euclidean Parameters in Infinite-Dimensional Models.- Euclidean Parameters: Further Examples.-…

### An exact multinomial test for equivalence

- Mathematics
- 2009

Existing equivalence tests for multinomial data are valid asymptotically, but the $\alpha$ level is not properly controlled for small and moderate sample sizes. We resolve this difficulty by…

### Testing Statistical Hypotheses of Equivalence

- Mathematics
- 2002

Introduction. Methods for One-Sided Equivalence Problems. General Approaches to the Construction of Tests for Equivalence in the Strict Sense. Equivalence Tests for Selected One-Parameter Problems.…

### Discrete Multivariate Analysis: Theory and Practice

- Mathematics
- 1975

Discrete Multivariate Analysis is a comprehensive text and general reference on the analysis of discrete multivariate data, particularly in the form of multidimensional tables, and contains a wealth of material on important topics.

### Benford's law : applications for forensic accounting, auditing, and fraud detection

- History
- 2012

A powerful new tool for all forensic accountants, or anyone who analyzes data that may have been altered Benford's Law gives the expected patterns of the digits in the numbers in tabulated data such…

### Testing Statistical Hypotheses, Third Edition

- Computer ScienceSpringer texts in statistics
- 2008

### Testing Statistical Hypotheses of Equivalence and Noninferiority

- Mathematics
- 2010

Introduction Statistical meaning of the concepts of equivalence and noninferiority Demonstration of equivalence as a basic problem of applied statistics Major fields of application of equivalence…

### Probability essentials. 2-nd Edition

- 2000