Sample size determinationSample size determination is the act of choosing the number of observations or replicates to include in a statistical sample. The sample size is an important feature of any empirical study in which the goal is to make inferences about a population from a sample. In practice, the sample size used in a study is usually determined based on the cost, time, or convenience of collecting the data, and the need for it to offer sufficient statistical power.
Extremum estimatorIn statistics and econometrics, extremum estimators are a wide class of estimators for parametric models that are calculated through maximization (or minimization) of a certain objective function, which depends on the data. The general theory of extremum estimators was developed by . An estimator is called an extremum estimator, if there is an objective function such that where Θ is the parameter space. Sometimes a slightly weaker definition is given: where op(1) is the variable converging in probability to zero.
Scoring algorithmScoring algorithm, also known as Fisher's scoring, is a form of Newton's method used in statistics to solve maximum likelihood equations numerically, named after Ronald Fisher. Let be random variables, independent and identically distributed with twice differentiable p.d.f. , and we wish to calculate the maximum likelihood estimator (M.L.E.) of . First, suppose we have a starting point for our algorithm , and consider a Taylor expansion of the score function, , about : where is the observed information matrix at .
Democratic globalizationDemocratic globalization is a social movement towards an institutional system of global democracy. One of its proponents is the British political thinker David Held. In the last decade, Held published a dozen books regarding the spread of democracy from territorially defined nation states to a system of global governance that encapsulates the entire world. For some, democratic mundialisation (from the French term mondialisation) is a variant of democratic globalisation stressing the need for the direct election of world leaders and members of global institutions by citizens worldwide; for others, it is just another name for democratic globalisation.
Lévy flightA Lévy flight is a random walk in which the step-lengths have a stable distribution, a probability distribution that is heavy-tailed. When defined as a walk in a space of dimension greater than one, the steps made are in isotropic random directions. Later researchers have extended the use of the term "Lévy flight" to also include cases where the random walk takes place on a discrete grid rather than on a continuous space. The term "Lévy flight" was coined by Benoît Mandelbrot, who used this for one specific definition of the distribution of step sizes.
World warA world war is an international conflict that involves most or all of the world's major powers. Conventionally, the term is reserved for the two major international conflicts that occurred during the first half of the 20th century, World War I (1914–1918) and World War II (1939–1945), although some historians have also described other global conflicts as world wars, such as the Nine Years' War, the War of the Spanish Succession, the Seven Years' War, the French Revolutionary and Napoleonic Wars, the Cold War, and the War on Terror.
Computational financeComputational finance is a branch of applied computer science that deals with problems of practical interest in finance. Some slightly different definitions are the study of data and algorithms currently used in finance and the mathematics of computer programs that realize financial models or systems. Computational finance emphasizes practical numerical methods rather than mathematical proofs and focuses on techniques that apply directly to economic analyses. It is an interdisciplinary field between mathematical finance and numerical methods.
World governmentWorld government is the concept of a single political authority with jurisdiction over all of Earth and humanity. It is conceived in a variety of forms, from tyrannical to democratic, which reflects its wide array of proponents and detractors. A world government with executive, legislative, and judicial functions and an administrative apparatus has never existed. The inception of the United Nations (UN) in the mid-20th century remains the closest approximation to a world government, as it is by far the largest and most powerful international institution.
Nakagami distributionThe Nakagami distribution or the Nakagami-m distribution is a probability distribution related to the gamma distribution. The family of Nakagami distributions has two parameters: a shape parameter and a second parameter controlling spread . Its probability density function (pdf) is where Its cumulative distribution function is where P is the regularized (lower) incomplete gamma function. The parameters and are and An alternative way of fitting the distribution is to re-parametrize and m as σ = Ω/m and m.
Global justice movementThe global justice movement is a network of globalized social movements demanding global justice by opposing what is often known as the “corporate globalization” and promoting equal distribution of economic resources. The global justice movement describes the loose collections of individuals and groups—often referred to as a “movement of movements”—who advocate fair trade rules and are negative to current institutions of global economics such as the World Trade Organization.
