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Surprisingly, we further show mPer2Brdm1 mice [4], with a deletion mutation in the mouse Period2 gene, display the breakdown of such a universal statistical law for resting periods, just as observed in patients with major depressive disorders [3].
Thus, we further study whether mPer2Brdm1 mice [4] with a deletion mutation in the mouse Period2 (mPer2) gene, a core clock gene, also having aberrant circadian rest-activity cycles (Fig. 1 d) as often seen in human depression patients, display a similar breakdown of the universal statistical law for resting period durations.
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Shreve (1966) developed a statistical law of channel numbers.
Belevitch also wrote a paper, On the Statistical Laws of Linguistic Distribution, which gives a derivation for the well-known empirical relationship, Zipf's law.
So, for each state, we aim at finding a suitable statistical law to model the signal behavior.
Instead he had to embrace Ludwig Boltzmann's interpretation, that the second law was a statistical law.
First, Hempel included statistical law into the general law and then developed the Deductive-Statistical model (D-S model) to explain the probability for a particular event (Hempel 1962, 1965).
As Hempel put the general law (deterministic law or statistical law) at the centre position of explanations, researchers call his models "the covering-law model".
The quest for statistical laws in language has been driven both by applications in text mining and document retrieval, and by the desire for foundational understanding of humans as agents and participants in the world.
As closed form expressions of moments have been determined, they may be used in evaluating the accuracy of typical sets for both single- and multiple-interferer statistical laws.
This implies that definite causal laws for the behaviour of these particles can never be attained, but only statistical laws governing the behaviour of immense aggregates of them.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com