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ABSTRACT: <br /> <br /> <br /> <br /> <br /> In data analysis, to calculate the probability of a random variable X in a point P(X c) or an interval P(a X b), the information of the distribution of X is needed. However, in reality scientists consider that the exact...
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| Online Access: | https://digilib.itb.ac.id/gdl/view/5743 |
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| Institution: | Institut Teknologi Bandung |
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id-itb.:57432017-09-27T11:43:02Z#TITLE_ALTERNATIVE# Oktari (NIM 10103044), Anggun Indonesia Final Project INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/5743 ABSTRACT: <br /> <br /> <br /> <br /> <br /> In data analysis, to calculate the probability of a random variable X in a point P(X c) or an interval P(a X b), the information of the distribution of X is needed. However, in reality scientists consider that the exact calculation is impractical. They prefer the simple calculation, especially for discrete distribution, even the result is only a bound. This matter will be more useful when there is only a part of the information of the distribution of X is known, such as mean and variance. Inequality can be used to calculate this bound. This final thesis will be discuss about Markovs, Chebyshevs, and Chernoffs inequalities. Chernoffs inequality can give the most accurate bound, near the real value. This inequality also can be prime alternative to give a bound in the probability of an interval, especially in data mining. text |
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ABSTRACT: <br />
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In data analysis, to calculate the probability of a random variable X in a point P(X c) or an interval P(a X b), the information of the distribution of X is needed. However, in reality scientists consider that the exact calculation is impractical. They prefer the simple calculation, especially for discrete distribution, even the result is only a bound. This matter will be more useful when there is only a part of the information of the distribution of X is known, such as mean and variance. Inequality can be used to calculate this bound. This final thesis will be discuss about Markovs, Chebyshevs, and Chernoffs inequalities. Chernoffs inequality can give the most accurate bound, near the real value. This inequality also can be prime alternative to give a bound in the probability of an interval, especially in data mining. |
| format |
Final Project |
| author |
Oktari (NIM 10103044), Anggun |
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Oktari (NIM 10103044), Anggun #TITLE_ALTERNATIVE# |
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Oktari (NIM 10103044), Anggun |
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Oktari (NIM 10103044), Anggun |
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#TITLE_ALTERNATIVE# |
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#TITLE_ALTERNATIVE# |
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#TITLE_ALTERNATIVE# |
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| url |
https://digilib.itb.ac.id/gdl/view/5743 |
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