Density Estimation for Statistics and Data Analysis

Silverman, B. W. (1986). Density Estimation for Statistics and Data Analysis. Chapman & Hall.

Type

Book

Intellectual base

Review or monograph

Year

1986

DOI

10.1201/9781315140919

ISBN

9781315140919

DOI registrant

Taylor & Francis (Routledge)

Link

https://doi.org/10.1201/9781315140919

Cited from

mathematics

Cited by

3 citations across 3 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Discretization-Induced Artifact
  • Statistics: histogram-binning artefacts — gaps, modes, and bimodality that shift with bin width and anchor and vanish under kernel-density estimation.

    This sourceHistogram modes and gaps depend on bin width and anchor and dissolve under kernel-density estimation; the invariance test against binning choices.

    Supported in partVerified against the publisher's abstract

    Silverman's book supplies the method behind the example — kernel smoothing as the check on binning artefacts — but its abstract never states the bimodality or the team's two-segment conclusion.

    “The Kernel method, both for univariate and multivariate data, is discussed in detail, with particular emphasis on ways of deciding how much to smooth and on computation aspects.”

    Read by an automated reader; not a human review. How support was checked

• Modifiable Areal Unit Problem
  • In histograms and exploratory analysis, the same continuous data displays as unimodal or bimodal depending on bin choice, with kernel-density bandwidth as the continuous analog.

    This sourceHistogram appearance (unimodal vs bimodal) depends on bin choice; kernel-density bandwidth is the continuous analog of bin width.

Domain-specific

• Violin Plot
  • The violin maps \(x\) to the value axis and \(\widehat f_h(x)\) to half-width.

Verification

Does it exist? Confirmed. This work's DOI resolves to a registered record, which fixes its identity. That is all it fixes.

Does it back the claim? Read against the text for 1 of 3 citations: 1 supported in part. Each verdict is shown under its citation below, with what in the work backs the sentence.

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Registry ID ref:04405f23e9fa · see in the full table