scholarly journals A characterization of the normal distribution by the independence of a pair of random vectors and a property of the noncentral chi-square statistic

1971 ◽  
Vol 1 (4) ◽  
pp. 457-460 ◽  
Author(s):  
Lyle Cook
Keyword(s):  
Normal Distribution ◽  
Random Vectors ◽  
Chi Square

scholarly journals A characterization of matrix variate normal distribution

1994 ◽  
Vol 17 (2) ◽  
pp. 341-346 ◽  
Author(s):  
Khoan T. Dinh ◽  
Truc T. Nguyen
Keyword(s):  
Linear Regression ◽  
Normal Distribution ◽  
Covariance Matrix ◽  
The Other ◽  
Joint Density ◽  
Random Vectors

The joint normality of two random vectors is obtained based on normal conditional with linear regression and constant covariance matrix of each vector given the value of the other without assuming the existence of the joint density. This result is applied to a characterization of matrix variate normal distribution.

Prediction of Haemoglobin Level by Some Probability Distribution

2020 ◽  
Vol 9 (1) ◽  
pp. 84-88
Author(s):  
Govinda Prasad Dhungana ◽  
Laxmi Prasad Sapkota
Keyword(s):  
Probability Distribution ◽  
Normal Distribution ◽  
Goodness Of Fit ◽  
Continuous Variable ◽  
Hemoglobin Level ◽  
Chi Square ◽  
Chi Square Test ◽  
Log Normal ◽  
Two Parameters ◽  
Best Fit

 Hemoglobin level is a continuous variable. So, it follows some theoretical probability distribution Normal, Log-normal, Gamma and Weibull distribution having two parameters. There is low variation in observed and expected frequency of Normal distribution in bar diagram. Similarly, calculated value of chi-square test (goodness of fit) is observed which is lower in Normal distribution. Furthermore, plot of PDFof Normal distribution covers larger area of histogram than all of other distribution. Hence Normal distribution is the best fit to predict the hemoglobin level in future.

scholarly journals A Universal Model for the Log-Normal Distribution of Elasticity in Polymeric Gels and Its Relevance to Mechanical Signature of Biological Tissues

Biology ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 64
Author(s):  
Arnaud Millet
Keyword(s):  
Elastic Modulus ◽  
Normal Distribution ◽  
Biological Tissues ◽  
Force Microscopy ◽  
Polymeric Gels ◽  
Atomic Force ◽  
Clear Explanation ◽  
Log Normal ◽  
Log Normal Distribution

The mechanosensitivity of cells has recently been identified as a process that could greatly influence a cell’s fate. To understand the interaction between cells and their surrounding extracellular matrix, the characterization of the mechanical properties of natural polymeric gels is needed. Atomic force microscopy (AFM) is one of the leading tools used to characterize mechanically biological tissues. It appears that the elasticity (elastic modulus) values obtained by AFM presents a log-normal distribution. Despite its ubiquity, the log-normal distribution concerning the elastic modulus of biological tissues does not have a clear explanation. In this paper, we propose a physical mechanism based on the weak universality of critical exponents in the percolation process leading to gelation. Following this, we discuss the relevance of this model for mechanical signatures of biological tissues.

scholarly journals Extremes of independent chi-square random vectors

Extremes ◽  
2010 ◽  
Vol 15 (1) ◽  
pp. 35-42 ◽  
Author(s):  
Enkelejd Hashorva ◽  
Zakhar Kabluchko ◽  
Achim Wübker
Keyword(s):  
Random Vectors ◽  
Chi Square

Some Characterizations of Normal Distribution

1988 ◽  
Vol 37 (1-2) ◽  
pp. 95-100 ◽  
Author(s):  
M. Ahsanullah ◽  
G. G. Hamedani
Keyword(s):  
Normal Distribution ◽  
Chi Square

In this note various characterizations of the univariate normal distribution based on the chi-square and Cauchy distributions are given.

scholarly journals Children hospitalized due to maltreatment in the ICU of a Public Health Service

2018 ◽  
Vol 71 (suppl 3) ◽  
pp. 1420-1427
Author(s):  
Letícia Medeiros Santomé ◽  
Sandra Maria Cezar Leal ◽  
Joel Rolim Mancia ◽  
Antônio Marcos Freire Gomes
Keyword(s):  
Medical Records ◽  
Relative Frequency ◽  
Life Histories ◽  
Public Health Service ◽  
Physical Violence ◽  
First Aid ◽  
Porto Alegre ◽  
Chi Square ◽  
Pediatric Icu

ABSRACT Objective: to characterize children hospitalized due to violence in a pediatric ICU in 2011; to relate violence and the mechanisms of trauma with death; to know the contextualization of violence, from the records in the medical records. Method: retrospective cohort, performed in a first aid hospital, Porto Alegre city, in the records of 22 children hospitalized in the ICU due to violence. Quantitative analysis was performed by absolute and relative frequency rates, chi-square and relative risk. Results: 54.5% were boys, 81.8% were white and 50% were up to three years old. Physical violence 50% and neglect 36.4%, family of children (77.3%), highlighting the mother (35.3%). Mechanisms of aggression: fall (22.7%), burns (18.2%). Burns were at high risk for death. Discharge to go home after ICU admission (59.1%). Conclusion: It is considered that the characterization of the cases of violence reflects the complexity of the theme, mainly, in face of the life histories that surround each case of children hospitalized by this aggravation.

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