Testing for the Mixture Hypothesis of Conditional Geometric and Exponential Distributions
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This study examines the mixture hypothesis of conditional geometric distributions using a likelihood ratio (LR) test statistic based on that used for unconditionalgeometricdistributions. Assuch,wederivethenulllimitdistribution of the LR test statistic and examine its power performance. In addition, we examine the interrelationship between the LR test statistics used to test the geometric and exponential mixture hypotheses. We also examine the performance of the LR test statistics under various conditions and confirm the main claims of the study using Monte Carlo simulations.
Abstract
This study examines the mixture hypothesis of conditional geometric distributions using a likelihood ratio (LR) test statistic based on that used for unconditionalgeometricdistributions. Assuch,wederivethenulllimitdistribution of the LR test statistic and examine its power performance. In addition, we examine the interrelationship between the LR test statistics used to test the geometric and exponential mixture hypotheses. We also examine the performance of the LR test statistics under various conditions and confirm the main claims of the study using Monte Carlo simulations.
참고문헌 (30)
- Andrews, D.W.K., "Estimation when a parameter is on a boundary", Econometrica, 67, pp.543~563 (1999)
- Andrews, D. W. K., "Testing when a parameter is on the boundary of the maintained hypothesis", Econometrica, 69, pp.683~734 (2001)
- Baek, Y., "Testing linearity using power transforms of regressors", Journal of Econometrics, 187, pp.376~384 (2015)
- Chen, H., "The likelihood ratio test for homogeneity in the finite mixture models", Canadian Journal of Statistics, 29, pp.201~216 (2001)
- Chernoff, H., "Asymptotic distribution of the likelihood ratio test that a mixture of two binomials is a single binomial", Journal of Statistical Planning and Inference, 43, pp.19~40 (1995)
- 조진서, "Experience with the Weighted Bootstrap in Testing for Unobserved Heterogeneity in Exponential and Weibull Duration Models", 계량경제학보, 22(2), pp.60~91 (2011), 한국계량경제학회
- 조진서, "Testing for the Mixture Hypothesis of Geometric Distributions", 계량경제학보, 20(3), pp.31~55 (2009), 한국계량경제학회
- Cho, J., "Testing for the effects of omitted power transformations", Economics Letters, 117, pp.287~290 (2012)
- Cho, J., "Revisiting tests for neglected nonlinearity using artificial neural networks", Neural Computation, 23, pp.1133~1186 (2011)
- Cho, J., "Essays in Nonlinear Time Series Econometrics, Festschrift in Honor of Timo Ter¨asvirta", pp.3~27 (2014), Oxford University Press
- Cho, J., "Sequentially testing polynomial model hypotheses using power transforms of regressors", Journal of Applied Econometrics, 33, pp.141~159 (2018)
- Cho, J., "Testing for regime switching", Econometrica, 75, pp.1671~1720 (2007)
- Testing the mixture hypothesis with misspecified exponential family distributions, "Cho, J.", Yonsei University, ~ (2008)
- Cho, J., "Testing for unobserved heterogeneity in exponential and Weibull duration models", Journal of Econometrics, 157, pp.458~480 (2010)
- Cho, J., "Generalized runs tests for the IID hypothesis", Journal of Econometrics, 162, pp.326~344 (2011)
- Cho, J., "Testing correct model specification using extreme learning machines", Neurocomputing, 74, pp.2552~2565 (2011)
- Davies, R., "Hypothesis testing when a nuisance parameter is present only under the alternative", Biometrika, 64, pp.247~254 (1977)
- Davies, R., "Hypothesis testing when a nuisance parameter is present only under the alternative", Biometrika, 74, pp.33~43 (1987)
- Hansen, B., "Inference when a nuisance parameter is not identified under the null hypothesis", Econometrica, 64, pp.413~430 (1996)
- Kennan, J., "The duration of contract strikes in U. S. manufacturing", Journal of Econometrics, 28, pp.5~28 (1985)
- Lancaster, T., "Econometric methods for the duration of unemployment", Econometrica, 47, pp.939~956 (1979)
- Lancaster, T., "The Econometric Analysis of Transition Data" (1992), Cambridge University Press
- Liu, X., "Testing homogeneity in gamma mixture models", Scandinavian Journal of Statistics, 30, pp.227~239 (2003)
- Nickell, S., "Estimating the probability of leaving unemployment", Econometrica, 47, pp.1249~1266 (1979)
- Piterbarg, V., "Asymptotic Methods in the Theory of Gaussian Processes and Fields", Translations of Mathematical Monographs, 148 (1996), American Mathematical Society
- Ranga Rao, R., "Relations between weak and uniform convergence of measures with applications", Annals of Mathematical Statistics, 33, pp.659~680 (1962)
- Ryu, K., "Analysis of a continuous proportional hazard model using discrete duration data", Econometric Review, 14, pp.299~313 (1995)
- Van den Berg, G., "An empirical equilibrium search model of the labor market", Econometrica, 66, pp.1183~1221 (1998)
- Wald, A., "Tests of statistical hypotheses concerning several parameters when the number of observations is large", Transactions of the American Mathematical Society, 54, pp.426~482 (1943)
- White, H., "Higher-order approximations for testing neglected nonlinearity", Neural Computation, 24, pp.273~287 (2011)
