کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1146943 | 957539 | 2008 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A central limit theorem for measurements on the logarithmic scale and its application to dimension estimates
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز عددی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A central limit theorem for measurements on the logarithmic scale and its application to dimension estimates A central limit theorem for measurements on the logarithmic scale and its application to dimension estimates](/preview/png/1146943.png)
چکیده انگلیسی
We show consistency and asymptotic normality of certain estimators for expected exponential growth rates under i.i.d. observations. These statistical functionals are of the formT(F)=∫log∫h(x,y)F(dx)F(dy)T(F)=∫log∫h(x,y)F(dx)F(dy)and are applicable to dimension estimates (information dimension), entropy estimates and estimations of the growth rate of “generating” functions. We also give an affirmative answer to a question posed by Keller in 1997 [A new estimator for information dimension with standard errors and confidence intervals, Stochastic Process. Appl. 71(2):187–206] whether this estimator, specialized for dimension, is an alternative to standard procedures.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Multivariate Analysis - Volume 99, Issue 4, April 2008, Pages 665–683
Journal: Journal of Multivariate Analysis - Volume 99, Issue 4, April 2008, Pages 665–683
نویسندگان
Manfred Denker, Aleksey Min,