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Uniqueness of one-parameter exponential curves fitted by non-linear least-squares to non-negative data in monotone non-increasing blocks

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Abstract For normalized non-negative data in monotone non-increasing blocks sufficiently close to test exponential functions computable in closed form, there is a unique one-parameter exponential decay curve fitted by weighted… Click to show full abstract

Abstract For normalized non-negative data in monotone non-increasing blocks sufficiently close to test exponential functions computable in closed form, there is a unique one-parameter exponential decay curve fitted by weighted non-linear least squares. Upper and lower bounds in closed form bracket the optimal decay constant.

Keywords: increasing blocks; negative data; data monotone; non negative; monotone non; non increasing

Journal Title: Communications in Statistics - Theory and Methods
Year Published: 2019

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