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help for ^numode^                                              [STB-38: snp13]
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Counting and estimation of modes in density/frequency data 
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     ^numode^  denvar midvar [^if^ exp] [^in^ range], [^mo^des ]


Description
-----------

This program calculates the number of modes of a density estimation or a
frequency distribution and if especified lists their estimated values. The user
must include the variable with the density or frequency values (denvar) and the
corresponding midpoints (midvar). Useful for histogram or kernel density 
estimation modes determination.

Options
-------

^mo^des lists the estimated values for each mode.


Examples
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. ^use bufsnow^

. ^warpdenm snow, b(3) m(10) k(6) gen(den3 mid3)^  

. ^numode den3 mid3, modes^

Will display the number of modes and their estimated values


References
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   Haerdle, W. (1991) Smoothing Techniques with Implementation in S.
        Springer-Verlag Chapter 2: 43-84; Chapters 1-2: 1-84.
   Salgado-Ugarte, I.H., M. Shimizu, and T. Taniuchi (1993) snp6: Exploring
        the shape of univariate data using kernel density estimators. Stata 
        Technical Bulletin 16: 8-19.
   Salgado-Ugarte, I.H., M. Shimizu, and T. Taniuchi (1995) snp6.1: ASH,
        WARPing, and kernel density estimation for univariate data. Stata
        Technical Bulletin 26: 23-31.
   Salgado-Ugarte, I.H., M. Shimizu, and T. Taniuchi (1995) snp6.2: Practical
        Rules for bandwidth selection in univariate density estimation. Stata
        Technical Bulletin 27: 5-19.
   Salgado-Ugarte, I.H., M. Shimizu, and T. Taniuchi (1997) snp6.4: 
        Nonparametric assessment of multimodality for univariate data. Stata
        Technical Bulletin XX: XX-XX.
   Scott, D.W. (1992) Multivariate Density Estimation: Theory, Practice,
        and Visualization. John Wiley Chapter 6: 125-143; Chapters 3-6: 47-193.
   Silverman, B.W. (1986) Density Estimation for Statistics and Data 
        Analysis. Chapman and Hall.


Authors
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     Isaias H. Salgado-Ugarte(*), Makoto Shimizu, and Toru Taniuchi
     (*)Universidad Nacional Autonoma de Mexico
     Facultad de Estudios Superiores Zaragoza
     Biologia, Guelatao 66 Col. Ejercito de Oriente
     Iztapalapa 09230, Mexico D.F., Mexico
     (Fax 52-5-773-0151)
     e-mail: fes01@@tzetzal.dcaa.unam.mx; isalgado@@servidor.unam.mx


Also see
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    STB: snp6 (STB-16); snp6.1 (STB-26); snp6.2 (STB-27); snp13 (STB-38)
On-line: ^help^ for @warpdenm@, @kerneld@, @bandw@, @l2cvwarp@, @bcvwarp@, @kernreg@