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- W4250560305 abstract "Use of sampled observations to approximate distributions has a long history. An important milestone was Pearson, who noted that the limiting case of the hypergeometric series can be written as in the equation below and who introduced the Pearsonian system of probability densities. The different families of densities (Type I-VI) are found by solving this differential equation under varying conditions on the constants. It turns out that the constants are then expressible in terms of the first four moments of the probability density function (pdf) f, so that they can be estimated given a set of observations using the method of moments. This chapter focuses on a selection of ideas for density estimation with independently and identically distributed (iid) observations, restricting ourselves to continuous random variables. The average shifted histogram (ASH) is constructed by averaging over several choices of the starting point or the bin origin." @default.
- W4250560305 created "2022-05-12" @default.
- W4250560305 date "2017-12-08" @default.
- W4250560305 modified "2023-09-23" @default.
- W4250560305 title "Density Estimation" @default.
- W4250560305 doi "https://doi.org/10.1002/9781118890370.ch1" @default.
- W4250560305 hasPublicationYear "2017" @default.
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