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The bathtub curve is a particular shape of a failure rate graph. This graph is used in reliability engineering and deterioration modeling. The 'bathtub' refers to the shape of a line that curves up at both ends, similar in shape to a bathtub. The bathtub curve has 3 regions: The first region has a decreasing failure rate due to early failures.
This is a list of Wikipedia articles about curves used in different fields: mathematics ... Bathtub curve; Bell curve; Calibration curve; Curve of growth (astronomy)
Any practically-relevant calculation of the MTBF assumes that the system is working within its "useful life period", which is characterized by a relatively constant failure rate (the middle part of the "bathtub curve") when only random failures are occurring. [1]
However, this is only valid if the failure rate () is actually constant over time, such as within the flat region of the bathtub curve. In many cases where MTBF is quoted, it refers only to this region; thus it cannot be used to give an accurate calculation of the average lifetime of a system, as it ignores the "burn-in" and "wear-out" regions.
Pages in category "Curves" ... Bathtub curve; Bean curve; Bézier curve; Boundary (real estate) C. Cell survival curve; Center of curvature; Cesàro equation; Chord ...
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The bathtub curve hazard function (blue, upper solid line) is a combination of a decreasing hazard of early failure (red dotted line) and an increasing hazard of wear-out failure (yellow dotted line), plus some constant hazard of random failure (green, lower solid line). Schematic deterioration of an asset over time.
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