शब्दाची व्युत्पत्ती CHEBYSHEV'S INEQUALITY
Named after P. L. Chebyshev (1821–94), Russian mathematician.
इंग्रजी मध्ये CHEBYSHEV'S INEQUALITY म्हणजे काय?
चेबेसशेवची असमानता
संभाव्यता सिद्धांतामध्ये, चेबेयशेवची असमानता अशी गृहीत करते की कोणत्याही संभाव्यता वितरणामध्ये "जवळजवळ सर्व" मूल्ये क्षुल्लक असतात - हे स्पष्ट निवेदन आहे की वितरणाच्या मूल्ये 1 / k2 पेक्षा अधिक क्षेथ्यापेक्षा मानक विचलनांपेक्षा जास्त असू शकत नाही . आकडेवारीमध्ये सामान्यतः चेबेयहेवच्या प्रमेय म्हणतात, साधारणत: मानक विचलनांविषयी, आकडेवारीमध्ये. असमानताची उपयुक्तता उत्तम आहे कारण हे पूर्णपणे अनियंत्रित वितरणास लागू केले जाऊ शकते, उदाहरणार्थ मोठ्या संख्येतील कमकुवत नियम सिद्ध करण्यासाठी त्याचा वापर केला जाऊ शकतो. प्रायोगिक वापरामध्ये, प्रायोगिक नियमांपेक्षा जे चेबिशेव च्या असमानतेनुसार सामान्य वितरनावर लागू होते, किमान 75% मूल्ये सरासरी आणि 8 9% च्या दोन मानक विचलनांमध्ये तीन मानक विचलनांमध्ये असणे आवश्यक आहे. टर्म चेबेसशेवाची असमानता देखील विशेषत: विश्लेषणाच्या संदर्भात मार्कोव्हची असमानता दर्शवते.
इंग्रजी शब्दकोशातील Chebyshev's inequality व्याख्या
शब्दकोशातील चेबिशेवची असमानतेची परिभाषा ही मूलभूत प्रमेय आहे की एक अविभाज्य परिवर्तनीय की, त्याच्या मानकांपेक्षा k पेक्षा जास्त मानक विचलनांपेक्षा वेगळे आहे 1 / k² पेक्षा कमी किंवा त्यापेक्षा कमी आहे.
«CHEBYSHEV'S INEQUALITY» संबंधित इंग्रजी पुस्तके
खालील ग्रंथसूची निवडीमध्ये
Chebyshev's inequality चा वापर शोधा. इंग्रजी साहित्यामध्ये वापराचा संदर्भ देण्यासाठी
Chebyshev's inequality शी संबंधित पुस्तके आणि त्याचे थोडक्यात उतारे.
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
नवीन गोष्टी ज्यामध्ये «CHEBYSHEV'S INEQUALITY» ही संज्ञा समाविष्ट आहे
खालील बातम्यातील आयटमच्या संदर्भात राष्ट्रीय आणि आंतरराष्ट्रीय पत्रकार कशाबद्दल बोलले आहेत आणि
Chebyshev's inequality ही संज्ञा कशी वापरली आहे ते शोधा.
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, मे 15»
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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, जून 11»