Moment Generating Functions of Observed Gaps between Hypopnea Using Saddlepoint Approximations

Saddlepoint approximations is one of the tools to obtain an expressions for densities and distribution functions. We approximate the densities of the observed gaps between the hypopnea events using the Huzurbazar saddlepoint approximation. We demonstrate the density of a maximum likelihood estimator in exponential families.

Authors:

• Nur Zakiah Mohd Saat
• Abdul Aziz Jemain

Keywords:

• Exponential
• maximum likehood estimators
• observed gap
• Saddlepoint approximations.

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