Introduction to Mathematical Statistics (4th ed.).

By G. Reinsel, R. Hogg, A. Craig. 1980

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Citations in the corpus

Federated Learning for Ultra-Reliable Low-Latency V2V Communications (2018, positive): “For this purpose, we use MLE [20].”
Distributed Federated Learning for Ultra-Reliable Low-Latency Vehicular Communications (2018, methodology): “In contrast to the classical MLE design which requires a central controller (e.g., RSU) to collect samples of queue lengths exceeding a threshold from all VUEs in the network, using FL every vehicle builds and shares its own local model (two gradient values) with the RSU.”
Dynamic treatment regimes (2009, methodology): “Standard test statistics (Hoel 1984) and sample size formula (Jennison and Turnbull 2000) for a large sample comparison of two means can be used in this case.”
Comparing Predictive Accuracy (1995, methodology): “…assumptions (1) and (2a) - (2c), the null hypothesis of equal forecast accuracy is equivalent to zero correlation between x and z (that is, Dxz = 0) and the test statistic is distributed as Student's t with T-1 degrees of freedom, where 11 (See, for example, Hogg and Craig (1978), pp. 300-303.)”
A Control Chart Based on Sample Median for the Detection of a Permanent Shift in the Process Mean (2005, background): “From some knowledge of the joint distribution of order statistics (see Hogg and Craig, 1978; Mood et al., 1974), it is easily shown that the joint density function of Zi;k and Zi;kþ1 is fZi;k ;Zi;kþ1ðz1;z2Þ ¼ n! ðk 1Þ!ðn k 1Þ!z k 1 1 ð1 z2Þn k 1; 0< z1 < z2 < 1 ð12Þ The region for the points…”
Probabilistic Terrain Mapping for Mobile Robots With Uncertain Localization (2018, background): “The lower and upper conﬁdence bounds h i , min and h i , max can now be determined by sampling minimum and maximum values of the CDF D ( z ) .”
Software Intensive Science (2014, methodology): “In a scientific domain that uses no software we can (although we might not be required, or choose not, to) at least partially characterize the distribution of errors in terms of conventional statistical inference theory (hereafter, CSIT; see, for example Hogg et al. 2005).”
A new model for prediction of the age of onset and penetrance for Huntington's disease based on CAG length (2004, methodology): “We obtained maximum likelihood estimates (21) for the final model parameters via general purpose numerical optimization algorithms available in the programs MATLAB (22) and MATHEMATICA (23).”
Assessing Univariate and Multivariate Normality, A Guide For Non-Statisticians (2016, background): “?̅? is sample mean, s is the sample variance, √s is sample standard deviation (sd) and ?̂?j1 is the proportion of observation within ?̅? ± √s (Hogg et al., 2004).”
On use of Bayesian statistics to make the Guide to the Expression of Uncertainty in Measurement consistent (2003, background): “Suppose the process of making the measurements and computing confidence intervals could be repeated infinitely many times under exactly the same experimental conditions and the same sampling distributions continued to apply, then p specifies the fraction of such intervals that would include Z [12].”
Principal component analysis for clustering gene expression data (2001, methodology): “Using the Wilcoxon signed rank test (Hogg and Craig, 1978), we show that the adjusted Rand index without PCA is greater than that with the first m components at the 5% significance level for all m = 3, .”
Real-Time Profiling of Fine-Grained Air Quality Index Distribution Using UAV Sensing (2017, methodology): “We use the two-tailed hypothesis test [26]: H0 : μ1 = μ2 versus H1 : μ1 = μ2, where μ1 denotes our average measured data for all days and μ2 is the average for the official ones.”