Inversely related in the context of Random vector


Inversely related in the context of Random vector

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⭐ Core Definition: Inversely related

In statistics, there is a negative relationship or inverse relationship between two variables if higher values of one variable tend to be associated with lower values of the other. A negative relationship between two variables usually implies that the correlation between them is negative, or — what is in some contexts equivalent — that the slope in a corresponding graph is negative. A negative correlation between variables is also called inverse correlation.

Negative correlation can be seen geometrically when two normalized random vectors are viewed as points on a sphere, and the correlation between them is the cosine of the circular arc of separation of the points on a great circle of the sphere. When this arc is more than a quarter-circle (θ > π/2), then the cosine is negative. Diametrically opposed points represent a correlation of –1 = cos(π), called anti-correlation. Any two points not in the same hemisphere have negative correlation.

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Inversely related in the context of Stagflation

Stagflation is the combination of high inflation, stagnant economic growth, and elevated unemployment. The term stagflation, a portmanteau of "stagnation" and "inflation", was popularized, and probably coined, by British politician Iain Macleod in the 1960s, during a period of economic distress in the United Kingdom. It gained broader recognition in the 1970s after a series of global economic shocks, particularly the 1973 oil crisis, which disrupted supply chains and led to rising prices and slowing growth. Stagflation challenges traditional economic theories, which suggest that inflation and unemployment are inversely related, as depicted by the Phillips Curve.

Stagflation presents a policy dilemma, as measures to curb inflation—such as tightening monetary policy—can exacerbate unemployment, while policies aimed at reducing unemployment may fuel inflation. In economic theory, there are two main explanations for stagflation: supply shocks, such as a sharp increase in oil prices, and misguided government policies that hinder industrial output while expanding the money supply too rapidly. The stagflation of the 1970s led to a reevaluation of Keynesian economic policies and contributed to the rise of alternative economic theories, including monetarism and supply-side economics.

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