For example, using Z-test of hypothesis in the following Figure.

 The hypotheses of the Alternating Series Test are satisfied, so the original series converges.

the convergence hypothesis suggests that differences in ..

This article examines the conditional income convergence hypothesis for 17 major states in India for the period of 1960–2012. Univariate stationarity tests without structural breaks provide evidence against the convergence hypothesis. However, when two or more structural breaks are applied in per capita income series, the incomes of around 11–13 states are found to stochastically converge to the national average. This finding supports the convergence hypothesis for the panel as a whole after accounting for two data features, cross-sectional dependence and structural breaks in incomes, using a unified panel stationarity testing framework.

We do need the above conditions when test of hypotheses are our main concern.

implies that there is only conditional convergence.

N2 - Using a new measure of human capital and following the neoclassical framework suggested by Mankiw et al. (1992), [Mankiw, N., Romer, D., Weil, D., 1992. A contribution to the empirics of economic growth. Quarterly Journal of Economics 107, 407-437] this paper presents robust econometric evidence of conditional convergence among African countries over the period 1960-1985. The implied results indicate higher rates of return to physical and human capital and a low speed of convergence in these countries. The observed low speed of convergence in transitional dynamics in African countries can possibly be attributed to many structural factors including the prevailing political and economic institutions.

By rejecting equality, that is, the null hypothesis, you assert that there is a difference.

Note that, since we are using a subjective probability expressing the strength of belief assessment of the truthfulness of the null hypothesis, it is called a to statistical decision making, which is a standard approach in .

For example, in many textbooks you find the authors double the p-value to compare it with  when dealing with the two-sided test of hypotheses.


Results of conditional convergence based on foreign direct ..


Basic mathematical methods commonly used in the cognitive and neural sciences. Topics include: introduction to differential equations, emphasizing qualitative behavior; introduction to probability and statistics, emphasizing hypothesis testing and modern nonparametric methods; and some elementary information theory. Examples from biology, psychology, and linguistics. Prerequisites: MATH 0100 or equivalent.

6.3 The Empirical Model of Conditional Convergence.

It argues that in contrast to the prevailing wisdom, the traditional neo-classical growth paradigm generates the club convergence hypothesis as well as the conditional convergence hypothesis.

The convergence hypothesis says that economic ..

Definition. A series converges conditionally if the absolute value series diverges, but the original series converges.

conditional convergence hypothesis ..

Discussion PapersAbstract:This essay suggests that the convergence controversy may reflect, in part, differences in perception regarding the viable set of competing testable hypotheses generated by existing growth theories.

Absolute Convergence and Conditional Convergence

AB - This article examines the conditional income convergence hypothesis for 17 major states in India for the period of 1960–2012. Univariate stationarity tests without structural breaks provide evidence against the convergence hypothesis. However, when two or more structural breaks are applied in per capita income series, the incomes of around 11–13 states are found to stochastically converge to the national average. This finding supports the convergence hypothesis for the panel as a whole after accounting for two data features, cross-sectional dependence and structural breaks in incomes, using a unified panel stationarity testing framework.

Autoregressive conditional heteroskedasticity - Wikipedia

AB - Using a new measure of human capital and following the neoclassical framework suggested by Mankiw et al. (1992), [Mankiw, N., Romer, D., Weil, D., 1992. A contribution to the empirics of economic growth. Quarterly Journal of Economics 107, 407-437] this paper presents robust econometric evidence of conditional convergence among African countries over the period 1960-1985. The implied results indicate higher rates of return to physical and human capital and a low speed of convergence in these countries. The observed low speed of convergence in transitional dynamics in African countries can possibly be attributed to many structural factors including the prevailing political and economic institutions.