According to the PMBOK® Guide, specifically within the Monitor and Control Project Work process, these specific methods are categorized under Data Analysis, which falls under the broader umbrella of Analytical techniques.

Analytical Techniques: These are used to evaluate, study, or forecast potential outcomes based on variations of project or environmental variables and their relationships with other variables.

Regression Analysis: Used to examine the relationship between a dependent variable and one or more independent variables to predict future performance.

Failure Mode and Effect Analysis (FMEA): A procedure in which each potential failure mode in every component of a product is analyzed to determine its effect on the reliability of that component and on the system.

Fault Tree Analysis (FTA): A top-down, deductive failure analysis in which an undesired state of a system is analyzed using Boolean logic to combine a series of lower-level events.

Trend Analysis: Uses mathematical models to forecast future outcomes based on historical results.

Why the other options are incorrect:

A. Expert judgment: While experts may perform these analyses, the specific mathematical and logical models listed (Regression, FMEA, FTA) are defined as techniques of data analysis, not the judgment itself.

B. Forecasting methods: While trend and regression analysis can be used for forecasting, FMEA and FTA are primarily risk and quality analysis tools used to identify failures, not necessarily to forecast project completion dates or costs.

C. Earned value management (EVM): EVM is a specific methodology that combines scope, schedule, and resource measurements. While it uses some analytical logic (like CPI and SPI), it does not encompass the structural failure or logical deduction models like FTA or FMEA.