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AIP Conference Proceedings, ISSN 0094-243X, 07/2019, Volume 2116, Issue 1
The Power Normal (PN) family of distributions is obtained by inverting the Box-Cox (BC) transformation over a truncated normal (TN) (or for some cases normal)... 
Bivariate analysis | Statistical analysis | Mathematical analysis | Normal distribution | Conditional probability | Random variables | Probability density functions | Electric power distribution
Journal Article
Communications in Statistics - Theory and Methods, ISSN 0361-0926, 07/2017, Volume 46, Issue 14, pp. 7147 - 7156
In this paper, we propose a new bivariate distribution, namely bivariate alpha-skew-normal distribution. The proposed distribution is very flexible and capable... 
bimodality | bivariate distributions | skew-normal distribution | 62E99 | asymmetry | Alpha-skew-normal distribution | STATISTICS & PROBABILITY | EXTENSION | Economic models | Normal distribution
Journal Article
Statistics, ISSN 0233-1888, 02/2013, Volume 47, Issue 1, pp. 110 - 125
Recently, Gupta and Gupta [Analyzing skewed data by power-normal model, Test 17 (2008), pp. 197-210] proposed the power-normal distribution for which normal... 
maximum likelihood estimator | failure rate | clayton copula | approximate maximum likelihood estimator | STATISTICS & PROBABILITY | HAZARD RATE | MODEL
Journal Article
CSAM(Communications for Statistical Applications and Methods), ISSN 2287-7843, 2019, Volume 26, Issue 6, p. 583
Counterexamples of a skew-normal distribution are developed to improve our understanding of this distribution. Two examples on bivariate non-skew-normal... 
skew-normal | quadratic form | bivariate distribution | independence
Journal Article
Journal of Computational and Graphical Statistics, ISSN 1061-8600, 10/2017, Volume 26, Issue 4, pp. 930 - 934
Recurrence relations for integrals that involve the density of multivariate normal distributions are developed. These recursions allow fast computation of the... 
Truncated normal distribution | Folded normal distribution | Multivariate normal distribution | BIVARIATE NORMAL-DISTRIBUTION | STATISTICS & PROBABILITY | PARAMETERS
Journal Article
Computational Statistics and Data Analysis, ISSN 0167-9473, 10/2019, Volume 138, pp. 201 - 221
A framework is provided for estimating the mean and variance of a high-dimensional normal density. The main setting considered is a fixed number of vectors... 
Dirichlet process mixture model | Multivariate normal mean and variance estimation | Bivariate density estimation | Shrinkage estimator | Heteroscedasticity | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | STATISTICS & PROBABILITY | EMPIRICAL BAYES | Analysis | Algorithms
Journal Article
Transportation Research. Part B, Methodological, ISSN 0191-2615, 03/2018, Volume 109, p. 238
In this paper, we develop a new matrix-based implementation of the Mendell and Elston (ME) analytic approximation to evaluate the multivariate normal... 
Evaluation | Bivariate analysis | Integration | Econometric analysis | Approximation | Approximations | Traffic accidents & safety | Multivariate analysis | Studies | Normal distribution | Computer applications | Computing time | Distribution functions
Journal Article
Statistical Methodology, ISSN 1572-3127, 01/2013, Volume 10, Issue 1, pp. 113 - 127
The projected normal distribution is an under-utilized model for explaining directional data. In particular, the general version provides flexibility, e.g.,... 
Latent variables | Circular data | Bivariate normal distribution | Concentration | Mean direction | Markov chain Monte Carlo | REGRESSION-MODELS | STATISTICS & PROBABILITY | circular data | concentration | latent variables | mean direction | bivariate normal distribution
Journal Article
Journal of Statistical Software, ISSN 1548-7660, 2013, Volume 52, Issue 10, pp. 1 - 14
We propose an algorithm for evaluation of the cumulative bivariate normal distribution, building upon Marsaglia's ideas for evaluation of the cumulative... 
Cumulative bivariate normal distribution | Numerical evaluation | High precision | numerical evaluation | high precision | STATISTICS & PROBABILITY | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | cumulative bivariate normal distribution
Journal Article
STATA JOURNAL, ISSN 1536-867X, 2015, Volume 15, Issue 2, pp. 547 - 553
trabinor calculates the population transition matrix between two discretized variables when the original continuous variables follow a bivariate normal... 
transition matrix | binormal | bivariate normal | STATISTICS & PROBABILITY | SOCIAL SCIENCES, MATHEMATICAL METHODS | st0392 | trabinor | Gaussian distribution | Analysis | Matrices
Journal Article
IEEE/ACM Transactions on Audio, Speech and Language Processing (TASLP), ISSN 2329-9290, 05/2018, Volume 26, Issue 5, pp. 951 - 966
Journal Article
EPJ Web of Conferences, ISSN 2101-6275, 08/2017, Volume 150, p. 10
A Time Projection Chamber (TPC) is foreseen as the main tracking detector for the International Large Detector (ILD), one of the two detectors for the next... 
Bivariate analysis | Tracking | Hough transformation | Covariance matrix | Pattern recognition | Pixels | Inliers (landforms) | Covariance | Ionization | Normal distribution | Diffusion effects | Radiation counters | Sensors | Gas detectors
Conference Proceeding
International Journal of Reliability, Quality and Safety Engineering, ISSN 0218-5393, 10/2016, Volume 23, Issue 5, p. 1650020
In order to monitor the ratio of population means of a bivariate normal distribution, [K. P. Tran, P. Castagliola, and G. Celano, Monitoring the ratio of two... 
Markov chain | run rules | Ratio distribution | Battery industry
Journal Article
Journal of Applied Statistics, ISSN 0266-4763, 03/2015, Volume 42, Issue 3, pp. 603 - 613
This article considers inference on correlation coefficients of bivariate log-normal distributions. We developed generalized confidence intervals and... 
generalized confidence interval | generalized p-value | generalizedpivotal quantity | hypothesis test | correlation coefficient | bivariate log-normal | P-VALUES | GENERALIZED CONFIDENCE-INTERVALS | EQUALITY | STATISTICS & PROBABILITY | Confidence intervals | Applied statistics | Inference | Correlation | Simulation | Correlation coefficients
Journal Article
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