Stable paretian versus student's t stock market hypothesis

Artun Alparslan, Anthony Tessitore, Nilufer Usmen

Research output: Contribution to journalArticle

Abstract

This article investigates the types of probability distributions that can best represent equity returns using a large sample of daily S&P500 index returns. The competing models, Stable Paretian and Pearson families, are compared using Bayesian methods. The evidence against Stable Paretian as a model of S&P500 index returns is overwhelming. The distribution that best fits the data is Pearson Type IV, and Student's t fits almost as well. One implication is that a Bayesian decision maker should strongly shift beliefs in favor of a Pearson distribution with finite means and variances as a model of daily changes in the S&P500 stock index.

Original languageEnglish
Pages (from-to)133-145
Number of pages13
JournalJournal of Statistical Theory and Practice
Volume7
Issue number1
DOIs
StatePublished - 1 Jan 2013

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Stock Market
Stock Index
Stable Models
Equity
Bayesian Methods
Probability Distribution
Model
Beliefs
Family
Evidence

Keywords

  • Bayesian estimation
  • Pearson family
  • Stable Paretian family
  • Student'st

Cite this

Alparslan, Artun ; Tessitore, Anthony ; Usmen, Nilufer. / Stable paretian versus student's t stock market hypothesis. In: Journal of Statistical Theory and Practice. 2013 ; Vol. 7, No. 1. pp. 133-145.
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Stable paretian versus student's t stock market hypothesis. / Alparslan, Artun; Tessitore, Anthony; Usmen, Nilufer.

In: Journal of Statistical Theory and Practice, Vol. 7, No. 1, 01.01.2013, p. 133-145.

Research output: Contribution to journalArticle

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