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Minimal Sufficient $|sigma$-Fields and Minimal Sufficient Statistics. Two Counterexamples

open access: yesThe Annals of Mathematical Statistics, 1972
In this paper there are solved two problems raised by Bahadur (1954) which concern the relation between the existence of a minimal sufficient $\sigma$-field and the existence of a minimal sufficient statistic. Two examples show that the existence of a minimal sufficient $\sigma$-field is neither necessary nor sufficient for the existence of a minimal ...
Landers, Dieter, Rogge, Lothar
openaire   +4 more sources

Multivariate Modeling of Some Datasets in Continuous Space and Discrete Time [PDF]

open access: yesEntropy
Multivariate space–time datasets are often collected at discrete, regularly monitored time intervals and are typically treated as components of time series in environmental science and other applied fields.
Rigele Te, Juan Du
doaj   +2 more sources

Interpreting Infinite Numbers

open access: yesAxioms, 2023
The mathematical concept of infinity, in the sense of Cantor, is rather far from applied mathematics and statistics. These fields can be linked. We comment on the properties of infinite numbers and relate them to some operations with random variables ...
Carles M. Cuadras
doaj   +1 more source

Technology for restoring functional dependencies to determine reliability parameters

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
The problem of determining the properties of the object by analyzing the numerical and qualitative characteristics of a discrete sample is considered.
V.P. Kvasnikov   +2 more
doaj   +1 more source

Optimal Nonlinear Prediction of Random Fields on Networks [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2003
It is increasingly common to encounter time-varying random fields on networks (metabolic networks, sensor arrays, distributed computing, etc.).This paper considers the problem of optimal, nonlinear prediction of these fields, showing from an information ...
Cosma Rohilla Shalizi
doaj   +1 more source

On the Problem of State Recognition in Injection Molding Based on Accelerometer Data Sets

open access: yesSensors, 2022
The last few decades have been characterised by a very active application of smart technologies in various fields of industry. This paper deals with industrial activities, such as injection molding, where it is required to monitor continuously the ...
Julian Brunthaler   +4 more
doaj   +1 more source

Energy Return on Investment (EROI) for Forty Global Oilfields Using a Detailed Engineering-Based Model of Oil Production. [PDF]

open access: yesPLoS ONE, 2015
Studies of the energy return on investment (EROI) for oil production generally rely on aggregated statistics for large regions or countries. In order to better understand the drivers of the energy productivity of oil production, we use a novel approach ...
Adam R Brandt   +5 more
doaj   +1 more source

Challenges of Population Policies on Childbearing and Reproductive Health After the Islamic Revolution of Iran [PDF]

open access: yesJournal of Health Sciences and Surveillance System, 2022
Background: The nature of population policies in the field of health, especially population, fertility, and childbearing is complicated, so the families’ and policymakers’ decision on the quantity and quality of the reproduction and the childbearing ...
Parviz Mirzaei   +2 more
doaj   +1 more source

Evaluating the efficiency of coarser to finer resolution multispectral satellites in mapping paddy rice fields using GEE implementation

open access: yesScientific Reports, 2022
Timely and accurate estimation of rice-growing areas and forecasting of production can provide crucial information for governments, planners, and decision-makers in formulating policies. While there exists studies focusing on paddy rice mapping, only few
Mirza Waleed   +14 more
doaj   +1 more source

Confidence intervals: Concepts, fallacies, criticisms, solutions and beyond [PDF]

open access: yesNetwork Biology, 2022
For a long time, confidence interval theory is the basis of statistics, and confidence interval has been regarded as an important content of statistical analysis.
WenJun Zhang
doaj  

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