The total area under the curve must equal 1, representing the fact that the probability of some outcome occurring within the entire range is certain. \[\int_{-\infty}^{\infty}f\left(x\right)dx=1\] ...

Abstract: Sums of exponentially distributed random variables (RVs) play important roles in performance analysis of various communication systems. Their logarithmic expectations can not only facilitate ...

Bitcoin ran past $113,000 in the early hours, only to plunge back to the $110,000 region. The trading volume surged 16% in the last 24 hours. Ethereum continued to oscillate between $4,270 and $4,381, ...

The ringgit ended higher against the US dollar today as the greenback extended its decline following the weak US jobs report on Friday and ahead of a revision in US job growth figures for the 12 ...

Expectations around Federal Reserve rate cuts saw little movement after revisions from the Bureau of Labor Statistics showed the U.S. economy created 911,000 fewer jobs than previously estimated in ...

A stumbling labor market has fueled expectations of a rate cut at the Federal Reserve’s meeting next week. It might also open the door to more aggressive and frequent cuts to wrap up the year over ...

Global stocks and the dollar steadied on Tuesday ahead of a key revision to U.S. payrolls numbers that could help shape investor thinking about the likely course of Federal Reserve policy, while gold ...

Japan’s Q2 GDP rose 0.5% QoQ, fueling speculation of a BoJ policy shift and potential USD/JPY volatility. China’s trade data remains crucial for AUD/USD, influencing expectations of RBA’s Q4 rate path ...

A weak jobs report last month showed a sharp hiring slowdown. Fresh jobs data on Friday showed a continued hiring slowdown in the first such release since a dismal jobs report last month prompted ...

Although the S&P 500 had a relatively low bar to clear of just 4.9% earnings growth expected for the quarter, America’s largest companies have cruised past estimates. S&P 500 earnings per share (EPS) ...

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...