FREQUENCY INTERPRETATION OF MISES: PHILOSOPHICAL AND METHODOLOGICAL ANALYSIS

2018 ◽  
Keyword(s):  
Frequency Interpretation

Hypermodal cells in amniotic fluid cultures: frequency, interpretation, and clinical significance

1982 ◽  
Vol 143 (3) ◽  
pp. 250-258 ◽  
Author(s):  
Joe Leigh Simpson ◽  
Alice O. Martin ◽  
Marion S. Verp ◽  
Sherman Elias ◽  
V.A. Patel
Keyword(s):  
Amniotic Fluid ◽  
Clinical Significance ◽  
Frequency Interpretation

scholarly journals The Beat-Frequency Interpretation of Kilohertz Quasi-periodic Oscillations in Neutron Star Low-Mass X-Ray Binaries

1998 ◽  
Vol 501 (1) ◽  
pp. L95-L99 ◽  
Author(s):  
Dimitrios Psaltis ◽  
Mariano Méndez ◽  
Rudy Wijnands ◽  
Jeroen Homan ◽  
Peter G. Jonker ◽  
...  
Keyword(s):  
Neutron Star ◽  
Beat Frequency ◽  
Periodic Oscillations ◽  
X Ray ◽  
Frequency Interpretation ◽  
Low Mass ◽  
X Ray Binaries

Fair bets and inductive probabilities

1955 ◽  
Vol 20 (3) ◽  
pp. 263-273 ◽  
Author(s):  
John G. Kemeny
Keyword(s):  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
The Other ◽  
Inductive Probability ◽  
Other Hand ◽  
Frequency Interpretation ◽  
Definition Of ◽  
Necessary And Sufficient ◽  
Degree Of Confirmation

The question of what constitutes fairness in betting quotients has been studied by Ramsey, deFinetti, and Shimony. Thanks to their combined efforts we now have a satisfactory definition of fairness.On the other hand, the explication of the concept of degree of confirmation (inductive probability) has progressed rapidly in recent years, thanks primarily to Carnap. This explication has usually proceeded by laying down the axioms for frequency-probabilities, and elaborating on these. While in the case where a frequency interpretation is intended these axioms are clearly justified, in our case they have been laid down without any justification. Carnap's presentation has been criticized for just this reason.The purpose of this paper is to show that the probability axioms are necessary and sufficient conditions to assure that the degrees of confirmation form a set of fair betting quotients. In addition it will be shown that one additional, highly controversial, axiom is precisely the condition needed to assure that not only deFinetti's weaker criterion but Shimony's criterion of fairness is also satisfied.

scholarly journals MACROSCOPIC OBSERVABLES AND THE BORN RULE, I: LONG RUN FREQUENCIES

2008 ◽  
Vol 20 (10) ◽  
pp. 1173-1190 ◽  
Author(s):  
N. P. LANDSMAN
Keyword(s):  
Quantum Mechanics ◽  
Quantum System ◽  
Single Case ◽  
Born Rule ◽  
C Algebra ◽  
C Algebras ◽  
Long Run ◽  
Frequency Interpretation ◽  
Continuous Fields ◽  
The One

We clarify the role of the Born rule in the Copenhagen Interpretation of quantum mechanics by deriving it from Bohr's doctrine of classical concepts, translated into the following mathematical statement: a quantum system described by a noncommutative C*-algebra of observables is empirically accessible only through associated commutative C*-algebras. The Born probabilities emerge as the relative frequencies of outcomes in long runs of measurements on a quantum system; it is not necessary to adopt the frequency interpretation of single-case probabilities (which will be the subject of a sequel paper). Our derivation of the Born rule uses ideas from a program begun by Finkelstein [17] and Hartle [21], intending to remove the Born rule as a separate postulate of quantum mechanics. Mathematically speaking, our approach refines previous elaborations of this program — notably the one due to Farhi, Goldstone, and Gutmann [15] as completed by Van Wesep [50] — in replacing infinite tensor products of Hilbert spaces by continuous fields of C*-algebras. Furthermore, instead of relying on the controversial eigenstate-eigenvalue link in quantum theory, our derivation just assumes that pure states in classical physics have the usual interpretation as truthmakers that assign sharp values to observables.

Linear least squares prediction in non-stochastic time series

1969 ◽  
Vol 1 (01) ◽  
pp. 111-122
Author(s):  
P. D. Finch
Keyword(s):  
Time Series ◽  
Possible Worlds ◽  
Probabilistic Approach ◽  
Point Of View ◽  
Frequency Interpretation ◽  
Set Up ◽  
Stochastic Time Series ◽  
Stochastic Time ◽  
Probabilistic Point ◽  
Conceptual Difficulties

Many problems arising in the physical and social sciences relate to processes which happen sequentially. Such processes are usually investigated by means of the theory of stationary stochastic processes, but there have been some attempts to develop techniques which are not subject to the conceptual difficulties inherent in the probabilistic approach. These difficulties stem from the fact that in practice one is often restricted to a single record which, from the probabilistic point of view, is only one sample from an ensemble of possible records. In some instances such a viewpoint seems artificial, and for some time series it is questionable whether any objective reality corresponds to the idea of an ensemble of possible time series. For example, as noted in Feller (1967), a theory of probability based on a frequency interpretation cannot meaningfully attach a probability to a statement such as “the sun will rise tomorrow”, because to do so one would have to set up a conceptual universe of possible worlds.

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