In orthodox first-order logic, variables and expressions are only allowed to take one value at a time; a variable , for instance, is not allowed to equal and simultaneously. We will call such variables completely specified. If one really wants to deal with multiple values of objects simultaneously, one is encouraged to use the language […]
Partially specified mathematical objects, ambient parameters, and asymptotic notation
Category: Metamatemática, Matemática Pura y Matemática Aplicada
A short note on the startsWith function
The startsWith function comes with base R, and determines whether entries of an input start with a given prefix. (The endsWith function does the same thing but for suffixes.) The following code checks if each of “ant”, “banana” and “balloon” starts with “a”: The second argument (the prefix to check) can also be a vector. […]
A short note on the startsWith function
EMBEBIMIENTOS MÉTRICOS, PARTE I: ANÁLISIS DE COMPONENTES PRINCIPALES Y ANÁLISIS DE CONGLOMERADOS. SU INTERPRETACIÓN CONCEPTUAL, INTUICIÓN-LÓGICA GEOMÉTRICA, FORMALISMO MATEMÁTICO Y APLICACIONES COMPUTACIONALES
ISADORE NABI
Has globalisation ended?
Apart from inflation and war, what grips current economic thought is the apparent failure of what mainstream economics likes to call ‘globalisation’. What mainstream economics means by globalisation is the expansion of trade and capital flows freely across borders. In 2000, the IMF identified four basic aspects of globalisation: trade and transactions, capital and investment movements, migration and […]
Has globalisation ended?
CLASIFICACIÓN DE LAS MEDIDAS DE DISIMILARIDAD ENTRE CONGLOMERADOS DE DATOS SEGÚN LA ESTRUCTURA MÉTRICA DEL ESPACIO MUESTRAL DE APLICACIÓN
ISADORE NABI
Fragmented France
The second round of the French presidential election returned the incumbent President Emmanuel Macron to a second term of office. Macron won with 58.5% of the vote against the opponent, Marine Le Pen of the right-wing nationalist National Rally, who got 41.5%. Sounds comfortable – but the voter turnout of 72% was the lowest since […]
Fragmented France
Fieller’s confidence sets for ratio of two means
Assume you have a sample drawn i.i.d. from some underlying distribution. Let and . Our goal is to estimate the ratio of means and provide a level- confidence set for it, i.e. a set such that . Fieller’s confidence sets are one way to do this. (The earliest reference to Fieller’s work is listed as […]
Fieller’s confidence sets for ratio of two means
CONSTRUCCIÓN E INTERPRETACIÓN DEL COEFICIENTE SILUETA (SILHOUETTE) EN AGRUPAMIENTOS POR K-MEDIAS
ISADORE NABI
Asymptotic normality of sample quantiles
Let be i.i.d. random variables with the cumulative distribution function (CDF) . The central limit theorem demonstrates that the sample mean is asymptotically normal (as long as has a finite second moment): where and are the mean and variance of the random variable with CDF . It turns out that for any , the th […]
Asymptotic normality of sample quantiles
The inflation debate
The inflation debate among mainstream economists rages on. Is the accelerating and high inflation rate of commodities here to stay for some time and or is ‘transitory’ and will soon subside? Do central banks need to act fast and firmly to ‘tighten’ monetary policy (ie cut back on injection credit into banks through purchases of […]
The inflation debate