Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New Results for Pearson Type III Family of Distributions and Application
  in Wireless Power Transfer   Pearson and log Pearson type III distributions have been considered in
several scientific fields, as in hydrology and seismology. In this paper, we
present new results for these distributions and we utilize them, for first time
in the literature, to investigate the statistical behavior of wireless power
transfer (WPT), assuming that the harvested energy follows a well-established
nonlinear energy harvesting model based on the logistic function. Specifically,
we present new closed-form expressions for the statistical properties of a
general form of Pearson and log Pearson type III distributions and we utilize
them to introduce a new member of the Pearson type III family, the logit
Pearson type III distribution, through which the logit gamma distribution is
also defined. Moreover, we derive closed-form expressions for the probability
density function, the cumulative distribution function and moments of the
distributions of the sum, the log sum and the logit sum of Pearson type III
random variables. Furthermore, taking into account that Pearson type III family
of distributions is closely related to the considered nonlinear harvesting
model the statistical properties of the distribution of the harvested power and
derived, for both single input single output and multiple input single output
scenarios.

34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int