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https://en.wikipedia.org/wiki/Nicolaus_Copernicus
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https://en.wikipedia.org/wiki/Signal_recovery
Bias can be desirable if false alarms and misses lead to different costs
https://en.wikipedia.org/wiki/Theorem
Moreover, many authors qualify as theorems only the most important results, and use the terms lemma, proposition and corollary for less important theorems
https://en.wikipedia.org/wiki/White_noise
org uses a system of atmospheric antennas to generate random digit patterns from sources that can be well-modeled by white noise
https://en.wikipedia.org/wiki/Prime_ideal
This generalizes the following property of prime numbers, known as Euclid's lemma: if p is a prime number and if p divides a product ab of two integers, then p divides a or p divides b
https://en.wikipedia.org/wiki/Jerzy_Neyman
[6] Another noted contribution is the Neyman–Pearson lemma, the basis of hypothesis testing
https://en.wikipedia.org/wiki/Lehmann%E2%80%93Scheff%C3%A9_theorem
This is where the Lehmann–Scheffé theorem comes in, if T {\displaystyle T} is also complete, that is, for any real-valued measurable function φ {\displaystyle \varphi } it holds
E θ [ φ ( T ( X ) ) ] = 0 ⟹ φ ( T ( X ) ) = 0 P θ -a
https://en.wikipedia.org/wiki/Hypothesis_test
[3]
The test compares two hypotheses: a default "null" hypothesis (denoted H0) and its negation, the alternative hypothesis (H1)
https://en.wikipedia.org/wiki/Hypothesis_testing
[3]
The test compares two hypotheses: a default "null" hypothesis (denoted H0) and its negation, the alternative hypothesis (H1)
https://en.wikipedia.org/wiki/Autoregressive_conditional_heteroskedasticity
The ARCH model is appropriate when the error variance in a time series follows an autoregressive (AR) model; if an autoregressive moving average (ARMA) model is assumed for the error variance, the model is a generalized autoregressive conditional heteroskedasticity (GARCH) model
https://en.wikipedia.org/wiki/Autoregressive_model
Continuing this process shows that the effect of ε 1 {\displaystyle \varepsilon _{1}} never ends, although if the process is stationary then the effect diminishes toward zero in the limit
https://en.wikipedia.org/wiki/Excess_kurtosis
In particular if all of the ''i''</sub>"}},"i":0}}]}'>Xi have the same variance, then this simplifies to Kurt [ Y ] − 3 = 1 n 2 ∑ i = 1 n ( Kurt [ X i ] − 3 )
https://en.wikipedia.org/wiki/Markov_chain
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https://en.wikipedia.org/wiki/Poisson_distribution
z-1\right)\right]}
Fisher information 1 λ {\displaystyle {\frac {1}{\lambda }}}
In probability theory and statistics, the Poisson distribution (/ˈpwɑːsɒn/) is a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time if these events
https://en.wikipedia.org/wiki/Josiah_Willard_Gibbs
free energy]]|[[Gibbs' inequality]]|[[Gibbs isotherm]]|[[H-theorem#Gibbs' H-theorem|Gibbs' H theorem]]|[[Gibbs lemma]]|[[Gibbs measure]]|[[Gibbs paradox]]|[[Gibbs phenomenon]]|[[Gibbs state]]|[[Maxwell's thermodynamic surface|Gibbs' thermodynamic surface]]|[[Rotation formalisms in three dimensions#Rodrigues vector
https://en.wikipedia.org/wiki/Mathematics
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https://en.wikipedia.org/wiki/Up_to
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https://en.wikipedia.org/wiki/Wedderburn%E2%80%93Artin_theorem
}
Here we used right modules because R ≅ E n d ( R R ) {\displaystyle R\cong \mathrm {End} (R_{R})} ; if we used left modules R {\displaystyle R} would be isomorphic to the opposite algebra of E n d ( R R ) {\displaystyle \mathrm {End} ({}_{R}R)} , but the proof would still go through
https://en.wikipedia.org/wiki/Double_centralizer_theorem
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https://en.wikipedia.org/wiki/Ideal_norm
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https://en.wikipedia.org/wiki/Conjugate_diameters
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https://en.wikipedia.org/wiki/Invariant_basis_number
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This article includes a list of references, related reading, or external links, but its sources remain unclear because it lacks inline citations
https://en.wikipedia.org/wiki/Normalizing_constant
In Bayes' theorem, a normalizing constant is used to ensure that the sum of all possible hypotheses equals 1
https://en.wikipedia.org/wiki/Bali_myna
[1]
In 2018, there were three locations on Bali where the birds existed in the wild: the West Bali National Park; Bali's small island of Nusa Penida and Begawan Foundation's breeding and release site at Melinggih Kelod, Payangan
https://en.wikipedia.org/wiki/Altiplano
[1][2]
The Altiplano was the site of several pre-Columbian cultures, including the Chiripa, Tiwanaku, and the Inca Empire
https://en.wikipedia.org/wiki/ECHELON
[9] In 1964, plans for the establishment of the ECHELON network took off after dozens of countries agreed to establish the International Telecommunications Satellite Organization (Intelsat), which would own and operate a global constellation of communications satellites
https://en.wikipedia.org/wiki/McKinsey_&_Company
com/content/d17b114c-fdbe-433f-902e-5043ec51cb5a |work=Financial Times}}</ref>"},"aum":{"wt":""},"num_employees":{"wt":"38,000 (2025)<ref name=\"Forbes\">{{Cite news |title=Forbes 2025 company profile |work=Forbes |url=https://www
https://en.wikipedia.org/wiki/Outline_of_category_theory
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https://en.wikipedia.org/wiki/List_of_general_topology_topics
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https://en.wikipedia.org/wiki/Krull's_theorem
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