# A new goodness of fit test for gamma distribution with censored observations

@inproceedings{VaisakhK2021ANG, title={A new goodness of fit test for gamma distribution with censored observations}, author={M. VaisakhK. and P. SreedeviE. and Sudheesh Kumar Kattumannil}, year={2021} }

In the present paper, we develop a new goodness fit test for gamma distribution using the fixed point characterization. U-Statistic theory is employed to derive the test statistic. We discuss how the right censored observations are incorporated in the test developed here. The asymptotic properties of the test statistic in both censored and uncensored cases are studied in detail. Extensive Monte Carlo simulation studies are carried out to validate the performance of the proposed tests. We also…

## One Citation

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## References

SHOWING 1-10 OF 17 REFERENCES

### A new characterization of the Gamma distribution and associated goodness-of-fit tests

- MathematicsMetrika
- 2019

We propose a class of weighted $$L^2$$L2-type tests of fit to the Gamma distribution. Our novel procedure is based on a fixed point property of a new transformation connected to a Steinian…

### Testing the Fit of Gamma Distributions Using the Empirical Moment Generating Function

- Mathematics
- 2006

ABSTRACT This article presents goodness-of-fit tests for two and three-parameter gamma distributions that are based on minimum quadratic forms of standardized logarithmic differences of values of the…

### Goodness-of-Fit Tests for the Gamma Distribution Based on the Empirical Laplace Transform

- Mathematics
- 2012

We propose a class of goodness-of-fit tests for the gamma distribution that utilizes the empirical Laplace transform. The consistency of the tests as well as their asymptotic distribution under the…

### Inverse Probability of Censoring Weighted U‐statistics for Right‐Censored Data with an Application to Testing Hypotheses

- Mathematics
- 2010

Abstract. A right‐censored version of a U‐statistic with a kernel of degree m 1 is introduced by the principle of a mean preserving reweighting scheme which is also applicable when the dependence…

### Testing Parameters of a Gamma Distribution for Small Samples

- MathematicsTechnometrics
- 2009

New small sample-based tests are derived and the Type I error rate and statistical power of these tests are studied via simulation to reveal that in terms of maintaining Type Ierror rate, the new tests perform extremely well as long as the shape parameter is not too small, and even then the results are only slightly conservative.

### Consistency and Unbiasedness of Certain Nonparametric Tests

- Mathematics
- 1951

It is shown that there exist strictly unbiased and consistent tests for the univariate and multivariate two- and fc-sample problem, for the hypothesis of independence, and for the hypothesis of…

### Statistical Models and Methods for Lifetime Data

- BiologyTechnometrics
- 2003

This book describes and illustrates how to compute a simple “naive” variance estimate and con dence intervals that would be correct under the assumption of an underlying nonhomogeneous Poisson process model.

### The limit distribution of weighted $$L^2$$L2-goodness-of-fit statistics under fixed alternatives, with applications

- Mathematics
- 2017

We present a general result on the limit distribution of weighted one- and two-sample $$L^2$$L2-goodness-of-fit test statistics of some hypothesis $$H_0$$H0 under fixed alternatives. Applications…

### A bound for the error in the normal approximation to the distribution of a sum of dependent random variables

- Mathematics
- 1972

This paper has two aims, one fairly concrete and the other more abstract. In Section 3, bounds are obtained under certain conditions for the departure of the distribution of the sum of n terms of a…