Cross-Validated Spline Methods for the Estimation of Three-Dimensional Tumor Size Distributions from Observations on Two-Dimensional Cross Sections

DOI10.2307/2288713zbMath0572.62085OpenAlexW4248167076MaRDI QIDQ3690060

Stanley Goldfarb, Grace Wahba, Thomas Pugh, Douglas W. Nychka

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/2288713

zbMATH Keywords

stereologycross-validated spline methodseigensequence plotsestimation of the tumor size distributionill- posed integral equationsmouse liversrandom spheres modelthree-dimensional sphere size distributiontwo-dimensional cross sections

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Applications of statistics to biology and medical sciences; meta analysis (62P10) Nonparametric estimation (62G05) Monte Carlo methods (65C05) Numerical methods for integral equations (65R20) Probabilistic methods, stochastic differential equations (65C99)

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Uses Software

• EISPACK