Resumen

VALLEJOS-BARRA, O. S.. OPTIMAL ADJUSTMENT OF THE TRHEE-PARAMETERS LOGNORMAL DISTRIBUTION IN HIBRID OF POPULUS. Rev. Chapingo ser. cienc. for. ambient [online]. 2007, vol.13, n.1, pp.29-32. ISSN 2007-4018.

The DBH variable will be lognormal if log(DBH-θ) it is Normal distributed. To simplify the adjustment of this probability density function (fdp), the localization parameter (θ) is assumed zero in hybrid of Populus; however, in some cases this simplification doesn’t guarantee the best adjustment, affected the representation of the horizontal structure. In this research, the parameter that provides the best adjustment in the fdp lognormal of the DBH in the hybrid I-488 and I-63/51 was calculated. The algorithm of binary search was used which minimizes the statistical Dn of the Kolmogorov-Smirnov test. 38 % of the presented a parameter different from zero, originating a P-Value improvement between 0.02 and 55.4 %. A non parametric variance analysis of the variable “√n * Dn” was made, since this variable and multiple transformations did not allow to accept parametric analysis assumptions. The adjustment type presented highly significant statistical differences with a value of 17.1 (P-Value<0.001) of the Kruskal-Wallis test. Both hybrids and ages considered did not have statistical differences, hybrids presented a value of 0.1 (P-Value >0.800) and ages a value of 11.2 (PValue >0.260).

Palabras llave : localization parameter; optimization and Kolmogorov-Smirnov.

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