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The American Statistician, 1992
Abstract The delta method is an intuitive technique for approximating the moments of functions of random variables. This note reviews the delta method and conditions under which delta-method approximate moments are accurate.
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Abstract The delta method is an intuitive technique for approximating the moments of functions of random variables. This note reviews the delta method and conditions under which delta-method approximate moments are accurate.
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1980
This chapter is highly technical and is included to show that the approximations for moments of errors in data (chapter 3) and in allocations (chapters 4 and 5) can be developed rigorously. The reader is encouraged to skip this chapter for now and return to it if motivated by a desire to verify approximations developed in Later chapters.
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This chapter is highly technical and is included to show that the approximations for moments of errors in data (chapter 3) and in allocations (chapters 4 and 5) can be developed rigorously. The reader is encouraged to skip this chapter for now and return to it if motivated by a desire to verify approximations developed in Later chapters.
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Delta Method and Moment Convergence
AIP Conference Proceedings, 2010Statistics, either univariate or multivariate, are usually given by well‐behaved functions. This fact is used to obtain limit distributions for multivariate statistics whose components are given by asymptotically linear functions (see [1]). These results are then extended to the moments of distributions.
Miguel Fonseca +4 more
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Who Invented the Delta Method?
The American Statistician, 2012Many statisticians and other scientists use what is commonly called the “delta method.” However, few people know who proposed it. The earliest article was found in an obscure journal, and the author is rarely cited for his contribution. This article briefly reviews three modern versions of the delta method and how they are used.
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The delta-method for actuarial statistics
Scandinavian Actuarial Journal, 1996Abstract Asymptotic normality of nonparametric estimators is derived using the delta-method and Pollard's Central Limit Theorem for the empirical process indexed by a class of functions. The results are applied to estimation problems in actuarial mathematics.
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Heaviside Operational Method for Delta Function Sequences
Journal of Electromagnetic Waves and Applications, 1998Summary: Delta function sequences are regular functions approaching the singular delta function. They represent more realistic physical models for concentrated sources than the idealized delta function. It is shown that delta function sequences can be formed in a straightforward manner through the Heaviside operational calculus, by defining quasi ...
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