On some Derivatives of Vector-Matrix Products Useful for Statistics
Journal Title: Current Trends on Biostatistics & Biometrics - Year 2018, Vol 1, Issue 2
Abstract
In this brief description, we will use the numerator layout [1], and will tacitly assume that all products are conformable. and since š°tš± is a scalar, we are facing a particular case of the derivative of a scalar Ī» with respect to a vector, e.g., āš±Ī»=(āš±1Ī» ..... āš±nĪ») and it must also be āš±(š°tš±)=āš±(š±tš°) . Moreover, it is easy to demonstrate that using the denominator layout, the derivative would have been āš±(š°tš±)=š°.
Authors and Affiliations
Michele Nichelatti
Model Selection in Regression: Application to Tumours in Childhood
We give a chronological review of the major model selection methods that have been proposed from circa 1960. These model selection procedures include Residual mean square error (MSE), coefficient of multiple determinatio...
Some Simple Mathematical Models in Epilepsy
Epilepsy is a chronic disorder of the brain that affects people of all ages. Here epileptic seizures equations are related to the telegraph equation. Epilepsy is a chronic disorder of the brain that affects people of all...
Modeling Lifetime Data with the Odd Generalized Exponentiated Inverse Lomax Distribution
We propose a four parameter compound continuous distribution in this study. Simulation studies was carried out to investigate the behavior of the proposed distribution, from which the maximum likelihood estimates for the...
Correlative Variation of The Essential Amino Acids
On the example of the table of contents of eight essential amino acids in 22 products, the methodology of factor analysis and determination of the coefficient of correlation variation, calculated as the ratio of the sum...
A Simple Mathematical Model for a New Type of Cancer Cells
Recently new type of cancer cells has been observed. It is called Hybrid cells. A simple mathematical model is proposed to describe them. It implies that they will be near the tumor surface or circulating. Some comments...