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Autor:
Byron P. Roe
Publikováno v:
Probability and Statistics in the Physical Sciences ISBN: 9783030536930
Probability and Statistics in Experimental Physics ISBN: 9781441928955
Probability and Statistics in Experimental Physics ISBN: 9781475721881
Probability and Statistics in Experimental Physics ISBN: 9781441928955
Probability and Statistics in Experimental Physics ISBN: 9781475721881
Now we will introduce continuous distributions. By far, the most important of these is the normal or gaussian distribution that appears almost everywhere in probability theory, partially because of the central limit theorem, which will be discussed i
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https://doi.org/10.1007/978-3-030-53694-7_6
Autor:
Byron P. Roe
Publikováno v:
Probability and Statistics in the Physical Sciences ISBN: 9783030536930
First, we will discuss the important lemma of Fisher, which is the basis for our use of degrees of freedom when estimating parameters by making fits to experimental data. We will then discuss the maximum likelihood method and quote some general theor
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https://doi.org/10.1007/978-3-030-53694-7_12
https://doi.org/10.1007/978-3-030-53694-7_12
Autor:
Byron P. Roe
Publikováno v:
Probability and Statistics in the Physical Sciences ISBN: 9783030536930
Probability and Statistics in Experimental Physics ISBN: 9781475721881
Probability and Statistics in Experimental Physics ISBN: 9781441928955
Probability and Statistics in Experimental Physics ISBN: 9781475721881
Probability and Statistics in Experimental Physics ISBN: 9781441928955
We have now developed the tools to derive some of the standard one dimensional discrete probability distributions. In this chapter, we will examine the binomial distribution and its limit, the Poisson distribution, which are two of the most common di
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https://doi.org/10.1007/978-3-030-53694-7_5
https://doi.org/10.1007/978-3-030-53694-7_5
Autor:
Byron P. Roe
Publikováno v:
Probability and Statistics in the Physical Sciences ISBN: 9783030536930
Probability and Statistics in Experimental Physics ISBN: 9781475721881
Probability and Statistics in Experimental Physics ISBN: 9781441928955
Probability and Statistics in Experimental Physics ISBN: 9781475721881
Probability and Statistics in Experimental Physics ISBN: 9781441928955
In this chapter we will introduce some terms to give us a common language. We will be dealing for the most part with properties of a non-decreasing function of x which goes from 0 at the lower limit to 1 at the upper limit of x.
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https://doi.org/10.1007/978-3-030-53694-7_2
https://doi.org/10.1007/978-3-030-53694-7_2
Autor:
Byron P. Roe
Publikováno v:
Undergraduate Texts in Physics ISBN: 9783030536930
Undergraduate Texts in Physics
Undergraduate Texts in Physics
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https://doi.org/10.1007/978-3-030-53694-7
https://doi.org/10.1007/978-3-030-53694-7
Autor:
Byron P. Roe
Publikováno v:
Probability and Statistics in the Physical Sciences ISBN: 9783030536930
Probability and Statistics in Experimental Physics ISBN: 9781441928955
Probability and Statistics in Experimental Physics ISBN: 9781475721881
Probability and Statistics in Experimental Physics ISBN: 9781441928955
Probability and Statistics in Experimental Physics ISBN: 9781475721881
We examine in this chapter some miscellaneous tools. If our distribution function is very far from a normal distribution, estimates can be biased and also it is sometimes hard to interpret the non-gaussian errors which result. The use of the Bartlett
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https://doi.org/10.1007/978-3-030-53694-7_17
https://doi.org/10.1007/978-3-030-53694-7_17
Autor:
Byron P. Roe
Publikováno v:
Probability and Statistics in the Physical Sciences ISBN: 9783030536930
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https://doi.org/10.1007/978-3-030-53694-7_4
https://doi.org/10.1007/978-3-030-53694-7_4
Autor:
Byron P. Roe
Publikováno v:
Probability and Statistics in the Physical Sciences ISBN: 9783030536930
Probability and Statistics in Experimental Physics ISBN: 9781441928955
Probability and Statistics in Experimental Physics ISBN: 9781475721881
Probability and Statistics in Experimental Physics ISBN: 9781441928955
Probability and Statistics in Experimental Physics ISBN: 9781475721881
The methods discussed in Chapters 12, 13, and 16 are very powerful if the underlying distributions are close to normal. If the distributions of errors of the points on a curve, for example, are not normal and have long tails, then, as we noted in Cha
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https://doi.org/10.1007/978-3-030-53694-7_19
https://doi.org/10.1007/978-3-030-53694-7_19
Autor:
Byron P. Roe
Publikováno v:
Probability and Statistics in the Physical Sciences ISBN: 9783030536930
We are now ready to look at particular methods of estimating parameters from data. As we will see, there is a very sophisticated methodology that has developed for these problems and, in many cases, the estimation process can be automated and turned
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https://doi.org/10.1007/978-3-030-53694-7_13
https://doi.org/10.1007/978-3-030-53694-7_13
Autor:
Byron P. Roe
Publikováno v:
Probability and Statistics in the Physical Sciences ISBN: 9783030536930
Probability and Statistics in Experimental Physics ISBN: 9781475721881
Probability and Statistics in Experimental Physics ISBN: 9781441928955
Probability and Statistics in Experimental Physics ISBN: 9781475721881
Probability and Statistics in Experimental Physics ISBN: 9781441928955
Many times we wish to simulate the results of an experiment by using a computer and random variables, using the pseudo-random number generators available on computers. This is known as Monte Carlo simulation. This is often done because the experiment
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https://doi.org/10.1007/978-3-030-53694-7_8