TY - JOUR
AU - Zeny Maureal
AU - Elmer Castillano
AU - Roberto Padua
PY - 2021/05/29
Y2 - 2021/06/24
TI - Uniform Minimum Variance Unbiased Estimator of Fractal Dimension
JF - Recoletos Multidisciplinary Research Journal
JA - RMRJ
VL - 9
IS - 1
SE - Articles
DO - 10.32871/rmrj2109.01.06
UR - https://rmrj.usjr.edu.ph/rmrj/index.php/RMRJ/article/view/989
AB - The paper introduced the concept of a fractal distribution using a power-law distribution. It proceeds to determining the relationship between fractal and exponential distribution using a logarithmic transformation of a fractal random variable which turns out to be exponentially distributed. It also considered finding the point estimator of fractional dimension and its statistical characteristics. It was shown that the maximum likelihood estimator of the fractional dimension λ is biased. Another estimator was found and shown to be a uniformly minimum variance unbiased estimator (UMVUE) by Lehmann-Scheffe’s theorem.
ER -