Lecture

Average Growth Rates Calculation

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In course

HUM-471: Economic growth and sustainability I

This course examines growth from various angles: economic growth, growth in the use of resources, need for growth, limits to growth, sustainable growth, population growth. Although grounded in economics, it takes up elements from many other disciplines. ...

Description

This lecture covers the calculation of average growth rates using different methods, such as arithmetic mean, geometric mean, and linear trend analysis. The instructor explains how to compute growth rates for population, GDP, and per capita national income, illustrating with examples like Mozambique.

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Instructor

Philippe Thalmann

Philippe Thalmann was born in Lausanne in 1963. He graduated in Economics from the University of Lausanne in 1984, where he earned a postgraduate diploma in Economics in 1986. Mr. Thalmann entered the doctoral program in Economics of Harvard University (Cambridge, U.S.A.) in 1986, which he completed with a Ph.D. in 1990. His dissertation is entitled: "Essays in the Economics of Government Revenues and Spending". Returning to Switzerland, he was hired as an assistant professor first at the University of Geneva (teachings in Public Economics), then at the University of Lausanne (teachings in Econometrics and Introductory Economics). Since 1994, Mr. Thalmann is associate professor of Economics as the Swiss Federal Institute of Technology at Lausanne.

Official source

Ontological neighbourhood

Statistics

Statistical inference: Mathematical statistics

Related concepts (32)

Geometric mean

In mathematics, the geometric mean is a mean or average which indicates a central tendency of a finite set of real numbers by using the product of their values (as opposed to the arithmetic mean which uses their sum). The geometric mean is defined as the nth root of the product of n numbers, i.e., for a set of numbers a1, a2, ..., an, the geometric mean is defined as or, equivalently, as the arithmetic mean in logscale: Most commonly the numbers are restricted to being non-negative, to avoid complications related to negative numbers not having real roots, and frequently they are restricted to being positive, to enable the use of logarithms.

Arithmetic–geometric mean

In mathematics, the arithmetic–geometric mean of two positive real numbers x and y is the mutual limit of a sequence of arithmetic means and a sequence of geometric means: Begin the sequences with x and y: Then define the two interdependent sequences (an) and (gn) as These two sequences converge to the same number, the arithmetic–geometric mean of x and y; it is denoted by M(x, y), or sometimes by agm(x, y) or AGM(x, y). The arithmetic–geometric mean is used in fast algorithms for exponential and trigonometric functions, as well as some mathematical constants, in particular, computing π.

Mean

There are several kinds of mean in mathematics, especially in statistics. Each mean serves to summarize a given group of data, often to better understand the overall value (magnitude and sign) of a given data set. For a data set, the arithmetic mean, also known as "arithmetic average", is a measure of central tendency of a finite set of numbers: specifically, the sum of the values divided by the number of values. The arithmetic mean of a set of numbers x1, x2, ..., xn is typically denoted using an overhead bar, .

Generalized mean

In mathematics, generalized means (or power mean or Hölder mean from Otto Hölder) are a family of functions for aggregating sets of numbers. These include as special cases the Pythagorean means (arithmetic, geometric, and harmonic means). If p is a non-zero real number, and are positive real numbers, then the generalized mean or power mean with exponent p of these positive real numbers is (See p-norm).

Economic growth

Economic growth can be defined as the increase or improvement in the inflation-adjusted market value of the goods and services produced by an economy in a financial year. Statisticians conventionally measure such growth as the percent rate of increase in the real and nominal gross domestic product (GDP). Growth is usually calculated in real terms – i.e., inflation-adjusted terms – to eliminate the distorting effect of inflation on the prices of goods produced. Measurement of economic growth uses national income accounting.

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