Communications for Statistical Applications and Methods

  • 제21권5호
  • /
  • Pages.461-469
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  • 2014
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  • 2287-7843(pISSN)
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  • 2383-4757(eISSN)
한국통계학회 (The Korean Statistical Society)
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Further Results on Characteristic Functions Without Contour Integration

  • 투고 : 2014.07.31
  • 심사 : 2014.08.29
  • 발행 : 2014.09.30
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초록

Characteristic functions play an important role in probability and statistics; however, a rigorous derivation of these functions requires contour integration, which is unfamiliar to most statistics students. Without resorting to contour integration, Datta and Ghosh (2007) derived the characteristic functions of normal, Cauchy, and double exponential distributions. Here, we derive the characteristic functions of t, truncated normal, skew-normal, and skew-t distributions. The characteristic functions of normal, cauchy distributions are obtained as a byproduct. The derivations are straightforward and can be presented in statistics masters theory classes.

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참고문헌

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