1985•Journal of the Royal Statistical Society Series B (Statistical Methodology)Requires access

Modelling Data Containing Exact Zeroes Using Zero Degrees of Freedom

Andrew F. Siegel

Open publisher page 32 citations

Abstract

SUMMARY The noncentral chi-squared distribution with zero degrees of freedom can be used to model continuous data of a variety of shapes that also contain exact zero values. Existence and uniqueness of the maximum likelihood estimates for the scaled non-central chi-squared distribution with zero degrees of freedom are established, computational methods are considered, and an illustrative example is given.

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SUMMARY The noncentral chi-squared distribution with zero degrees of freedom can be used to model continuous data of a variety of shapes that also contain exact zero values. Existence and uniqueness of the maximum likelihood estimates for the scaled non-central chi-squared distribution with zero degrees of freedom are established, computational methods are considered, and an illustrative example is given.

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Available abstract

SUMMARY The noncentral chi-squared distribution with zero degrees of freedom can be used to model continuous data of a variety of shapes that also contain exact zero values. Existence and uniqueness of the maximum likelihood estimates for the scaled non-central chi-squared distribution with zero degrees of freedom are established, computational methods are considered, and an illustrative example is given.

Key concepts: Degrees of freedom (physics and chemistry), Zero (linguistics), Mathematics, Uniqueness, Distribution (mathematics), Applied mathematics, Square (algebra), Mathematical analysis

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