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ETIMOLOGI PERKATAAN CHEBYSHEV'S INEQUALITY

Named after P. L. Chebyshev (1821–94), Russian mathematician.
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Etimologi adalah kajian asal perkataan dan perubahan struktur dan makna mereka.
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SEBUTAN CHEBYSHEV'S INEQUALITY DALAM CORSICA

Chebyshev's inequality  [ˈtʃɛbɪˌʃɒfs] play
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KATEGORI TATABAHASA CHEBYSHEV'S INEQUALITY

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Ketidaksamaan Chebyshev

Chebyshev's inequality

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. In probability theory, Chebyshev's inequality guarantees that in any probability distribution, "nearly all" values are close to the mean — the precise statement being that no more than 1/k2 of the distribution's values can be more than k standard deviations away from the mean. The rule is often called Chebyshev's theorem, about the range of standard deviations around the mean, in statistics. The inequality has great utility because it can be applied to completely arbitrary distributions, for example it can be used to prove the weak law of large numbers. In practical usage, in contrast to the empirical rule, which applies to normal distributions, under Chebyshev's inequality a minimum of just 75% of values must lie within two standard deviations of the mean and 89% within three standard deviations. The term Chebyshev's inequality may also refer to the Markov's inequality, especially in the context of analysis.

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.

The definition of Chebyshev's inequality in the dictionary is the fundamental theorem that the probability that a random variable differs from its mean by more than k standard deviations is less than or equal to 1/ k².

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CORSICA PERKATAAN YANG BERIMA DENGAN CHEBYSHEV'S INEQUALITY


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Sinonim dan antonim Chebyshev's inequality dalam kamus sinonim Corsica

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TERJEMAHAN CHEBYSHEV'S INEQUALITY

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Aliran kegunaan Chebyshev's inequality

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KECENDERUNGAN PENGGUNAAN TERMA «CHEBYSHEV'S INEQUALITY»

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Peta yang ditunjukkan di atas memberikan kekerapan penggunaan terma «Chebyshev's inequality» dalam negara berbeza.
Kecenderungan carian utama dan penggunaan umum Chebyshev's inequality
Senarai carian utama yang dibuat oleh pengguna untuk mengakses kamus Corsica dalam talian kami dan ungkapan yang paling banyak digunakan dengan perkataan «Chebyshev's inequality».

KECENDERUNGAN PENGGUNAAN TERMA «CHEBYSHEV'S INEQUALITY» DARI MASA KE MASA

Grafik menyatakan evolusi tahunan kekerapan penggunaan perkataan «Chebyshev's inequality» selama 500 tahun yang lalu. Pelaksanaannya adlah berdasarkan kepada menganalisa kekerapan istilah «Chebyshev's inequality» muncul dalam sumber bercetak digital dalam Corsica antara tahun 1500 dan hari ini.

Contoh penggunaan dalam kesusasteraan Corsica, petikan dan berita mengenai Chebyshev's inequality

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CORSICA BUKU YANG BERKAIT DENGAN «CHEBYSHEV'S INEQUALITY»

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 ...
Ronald Christensen, 1996
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; ...
Keith Knight, 1999
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 ...
Oded Goldreich, 2008
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 ...
R.H.Chitale, 2008
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.
Hephaestus Books, 2011
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
9
Chebyshev's Inequality
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

BARANGAN BERITA YANG TERMASUK TERMA «CHEBYSHEV'S INEQUALITY»

Ketahui apa yang diterbitkan oleh akhbar nasional dan antarabangsa dan cara istilah Chebyshev's inequality digunakan dalam konteks perkara berita berikut.
1
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»
2
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»

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« EDUCALINGO. Chebyshev's inequality [dalam talian]. <https://educalingo.com/ms/dic-en/chebyshevs-inequality> Tersedia. Apr 2024 ».
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