Model Selection Test for the Heavy-Tailed Distributions under Censored Samples with Application in Financial Data

Hanieh Panahi
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Hanieh Panahi: Department of Mathematics and Statistics, Lahijan Branch, Islamic Azad University, Lahijan 4416939515, Iran

IJFS, 2016, vol. 4, issue 4, 1-14

Abstract: Numerous heavy-tailed distributions are used for modeling financial data and in problems related to the modeling of economics processes. These distributions have higher peaks and heavier tails than normal distributions. Moreover, in some situations, we cannot observe complete information about the data. Employing the efficient estimation method and then choosing the best model in this situation are very important. Thus, the purpose of this article is to propose a new interval for comparing the two heavy-tailed candidate models and examine its suitability in the financial data under complete and censored samples. This interval is equivalent to encapsulating the results of many hypotheses tests. A maximum likelihood estimator (MLE) is used for evaluating the parameters of the proposed heavy-tailed distribution. A real dataset representing the top 30 companies of the Tehran Stock Exchange indices is used to illustrate the derived results.

Keywords: asymptotic distribution; censored sample; heavy-tailed distribution; model selection test; Tehran Stock Exchange (search for similar items in EconPapers)
JEL-codes: F2 F3 F41 F42 G1 G2 G3 (search for similar items in EconPapers)
Date: 2016
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