ETIMOLOGI PERKATAAN CHEBYSHEV'S INEQUALITY
Named after P. L. Chebyshev (1821–94), Russian mathematician.
APAKAH MAKSUD CHEBYSHEV'S INEQUALITY dalam CORSICA?
Ketidaksamaan Chebyshev
Dalam teori kebarangkalian, ketidaksamaan Chebyshev menjamin bahawa dalam mana-mana pengedaran kebarangkalian, nilai "hampir semua" adalah hampir dengan min - pernyataan yang tepat bahawa tidak lebih daripada 1 / k2 nilai pengedaran boleh lebih daripada k standard penyimpangan dari min . Peraturan ini sering dipanggil teorem Chebyshev, mengenai pelbagai penyimpangan piawai di sekitar min, dalam statistik. Ketidaksamaan ini mempunyai utiliti yang besar kerana ia boleh digunakan untuk pengedaran sepenuhnya sewenang-wenang, contohnya ia boleh digunakan untuk membuktikan undang-undang yang lemah bilangan besar. Penggunaan praktikal, berbeza dengan peraturan empirikal, yang digunakan untuk pengagihan normal, di bawah ketidaksamaan Chebyshev sekurang-kurangnya hanya 75% nilai harus berada dalam dua penyimpangan standard min dan 89% dalam tiga penyimpangan piawai. Istilah ketidakseimbangan Chebyshev juga merujuk kepada ketidaksamaan Markov, terutama dalam konteks analisis.
Definisi Chebyshev's inequality dalam kamus Corsica
Takrif ketidakseimbangan Chebyshev dalam kamus adalah teorem asas bahawa kebarangkalian bahawa pemboleh ubah rawak berbeza dari mininya dengan lebih daripada k sisihan piawai k kurang dari atau sama dengan 1 / k².
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Ketahui penggunaan
Chebyshev's inequality dalam pilihan bibliografi berikut. Buku yang berkait dengan
Chebyshev's inequality dan ekstrak ringkas dari yang sama untuk menyediakan konteks penggunaannya dalam kesusasteraan Corsica.
1
Analysis of Variance, Design, and Regression: Applied ...
1.2.2 CHEBYSHEV'S INEQUALITY Another place in which the numerical values
of standard deviations are useful is in applications of Chebyshev's inequality.
Chebyshev's inequality gives a lower bound on the probability that a random ...
2
Probability and Statistics by Example: Volume 1, Basic ...
Chebyshev's inequality is perhaps the most famous in the whole probability
theory (and probably the most famous achievement of the prominent Russian
mathematician P.L. Chebyshev (1821-1894)). It states that if X is a random
variable with ...
Yuri Suhov, Michael Kelbert, Mark Kelbert,
2005
3
Mathematical Statistics
From the proof, it is quite easy to see that Chebyshev's inequality remains valid if
P[\X\ > e] is replaced by P[\X\ > e]. Chebyshev's inequality is primarily used as a
tool for proving various convergence results for sequences of random variables; ...
4
Computational Complexity: A Conceptual Perspective
Chebyshev's Inequality Using Markov's Inequality, one gets a potentially stronger
bound on the deviation of a random variable from its expectation. This bound,
called Chebyshev's Inequality, is useful when having additional information ...
5
Quantitative Investment Analysis
Chebyshev's Inequality The Russian mathematician Pafnuty Chebyshev
developed an inequality using standard deviation as a measure of dispersion.
The inequality gives the proportion of values within k standard deviations of the
mean.
Richard A. DeFusco, CFA, Dennis W. McLeavey, Jerald E. Pinto,
2011
6
Probability And Queueing Theory
Functions of a Random Variable Note : The values of lower bound obtained by
Chebyshev's inequality (0.75) and the actual value (0.9502) differ much. Hence,
the lower bound is a poor lower bound. EXERCISE 4.1 Part A : Short Answer ...
7
Articles on Statistical Inequalities, Including: Chebyshev's ...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online.
8
A First Course in Probability
Often the special case of the first equivalent form when r = 2 is referred to as the
extended Chebyshev's inequality. Lemma 1 (Chebyshev 's inequality) If E(X) = /i
and var (X) = a2 which are assumed to be finite, then for any a > 0 P (| X - fi | > a)
...
Tapas K. Chandra, Dipak Chatterjee,
2001
In probability theory, Chebyshev's inequality (also spelled as Tchebysheff's inequality) guarantees that in any data sample or probability distribution,"nearly all" values are close to the mean - the precise statement being that no more ...
Jesse Russell, Ronald Cohn,
2012
10
Understanding Advanced Statistical Methods
The bottom line is that Chebyshev's inequality becomes more useful for larger k.
But no matter what, do not assume that 1 — 1/k2 is equal to the true probability.
The true probability is more than 1 — 1/k2. It is called Chebyshev's inequality ...
Peter Westfall, Kevin S. S. Henning,
2013
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Ketahui apa yang diterbitkan oleh akhbar nasional dan antarabangsa dan cara istilah
Chebyshev's inequality digunakan dalam konteks perkara berita berikut.
VSM depth squared
... we can compute this using Chebyshev's inequality between expected value and average (or estimated value) ~ actually it will give us bound, ... «GameDev.net, Mei 15»
Getting the most out of Kinect's camera
To get the best results, the threshold should depend on the actual level of noise. A theorem in probability theory, called Chebyshev's inequality, ... «Develop, Jun 11»