Logspline density estimation for binned data

✍ Scribed by Ja-Yong Koo; Charles Kooperberg

• Book ID: 104303183
• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 200 KB
• Volume: 46
• Category: Article
• ISSN: 0167-7152
• DOI: 10.1016/s0167-7152(99)00097-8

✦ Synopsis

In this paper we consider logspline density estimation for binned data. Rates of convergence are established when the log-density function is assumed to be in a Besov space. An algorithm involving a procedure similar to maximum likelihood, stepwise knot addition, and stepwise knot deletion is proposed for the estimation of the density function based upon binned data. Numerical examples are used to show the ÿnite-sample performance of inference based on the logspline density estimation.