Arbeitspapier

Comparing Distributions: The Harmonic Mass Index

The information contained in PP-plots is transformed into a single number. The resulting Harmonic Mass (HM) index is distribution free and its sample counterpart is shown to be consistent. For a wide class of CDFs the exact analytical expression of the distribution of the sample HM index is derived, assuming the two underlying samples to be drawn from the same distribution. The robustness of the concomitant test statistic is assessed, and four different methods are discussed for applying the HM test in case of asymmetric samples.

Language
Englisch

Bibliographic citation
Series: Tinbergen Institute Discussion Paper ; No. 05-122/1

Classification
Wirtschaft
Hypothesis Testing: General
Semiparametric and Nonparametric Methods: General
Subject
Distribution
PP-plot
test statistic
critical percentile values
robustness.

Event
Geistige Schöpfung
(who)
Hinloopen, Jeroen
van Marrewijk, Charles
Event
Veröffentlichung
(who)
Tinbergen Institute
(where)
Amsterdam and Rotterdam
(when)
2005

Handle
Last update
10.03.2025, 11:43 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Hinloopen, Jeroen
  • van Marrewijk, Charles
  • Tinbergen Institute

Time of origin

  • 2005

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