Therese Huber, 1764 bis 1829. Leben und Briefe einer deutschen Frau.

Mode of access: Internet.

Robust estimation using the Huber function with a data-dependent tuning constant

Robust estimation often relies on a dispersion function that is more slowly varying at large values than the square function. However, the choice of tuning constant in dispersion functions may impact the estimation efficiency to a great extent. For a given family of dispersion functions such as the Huber family, we suggest obtaining the "best" tuning constant from the data so that the asymptotic efficiency is maximized. This data-driven approach can automatically adjust the value of the tuning constant to provide the necessary resistance against outliers. Simulation studies show that substantial efficiency can be gained by this data-dependent approach compared with the traditional approach in which the tuning constant is fixed. We briefly illustrate the proposed method using two datasets.

Walter, Freddy, Kurt and Elizabeth Gottschalk with their mother Therese Gottschalk nee Molling, and the maid on an easter egg hunt; Hannover, Germany.

From left to right: Walter Gottschalk, Therese Gottschalk nee Molling, Freddy Gottschalk, the maid, Kurt Gottschalk, and Elizabeth Gottschalk

Therese Godshaw (Gottschalk) nee Molling holding her great-grandson, Richard Godshaw; Buffalo, New York.

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Therese Godshaw's nee Molling 70th birthday party at the Krakauer home; Boston Portraits Family

Left to right behind table: John Krakauer, Donald, Michael and Robert Godshaw (Children of Hal and Anne), Grandma Therese Godshaw nee Molling, Julius Pick (Grandfather of Robert, Michael and Donald). In front of table: Wendy and Gerry Godshaw (children of Kurt and Edith.

Outdoor family portrait after the memorial services for Therese Godshaw nee Molling at Hal Godshaws house; Argonne Drive, Kenmore, New York.

Front row from left to right: Robert Godshaw, Wendy Godshaw, Rosel Pick (Anne Godshaw's mother), Debbie Godshaw born Mariner, Hal Godshaaw, Francis Schlosstein; 2nd row from left to right: David Dysert, Mickey Sloan born McMath, Edith Godshaw nee Osterer, baby (probably Gary Godshaw), Anne Godshaw born Pick, Julius Pick (Anne's father), Ursula Schlosstein born Gottschalk, Elizabeth Krakauer nee Gottschalk, Michael Godshaw; back row from left to right: Charles (Karl-Hermann Solomon) Sloan, Gerald Godshaw (partially hidden), unknown (probably Peter Godshaw), Kurt Godshaw, John Krakauer, Donald Godshaw, Tom Krakauer, Ralph Schlosstein, John Schlosstein.

Outdoor family portrait after the memorial services for Therese Godshaw nee Molling at Hal Godshaws house; Argonne Drive, Kenmore, New York.

Front row from left to right: Robert Godshaw, Wendy Godshaw, Rosel Pick (Anne Godshaw's mother), Debbie Godshaw born Mariner, Hal Godshaaw, Francis Schlosstein; 2nd row from left to right: David Dysert, Mickey Sloan born McMath, Edith Godshaw nee Osterer, baby (probably Gary Godshaw), Anne Godshaw born Pick, Julius Pick (Anne's father), Ursula Schlosstein born Gottschalk, Elizabeth Krakauer nee Gottschalk, Michael Godshaw; back row from left to right: Charlie Sloan, Gerald Godshaw (partially hidden), unknown, Kurt Godshaw, John Krakauer, Donald Godshaw, Tom Krakauer, Ralph Schlosstein, John Schlosstein.

Therese Meyerhof nee Molling on Nazi Identification card ; Hannover, Germany.

Photograph from Nazi identification card, dated February 24, 193?.

Fritz Gottschalk, Therese Gottschalk nee Molling and Lotte Stern nee Wallerstein on a hiking tour in the mountains.

Therese Gottschalk nee Molling, wife of Fritz Gottschalk; Lotte Stern nee Wallerstein, 1st cousin of Lotte Stern nee Wallerstein

Henny Molling with Therese, Hal, Kurt and Elizabeth Gottschalk at the swim club; Hannover, Germany.

From left to right: Therese Gottschalk, Hal Gottschalk, Kurt Gottschalk, Henny Molling; on the ground: Elizabeth Gottschalk

Portrait of Therese Meyerhof nee Molling.

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Therese Mayerhof nee Molling with Joel, Ilse, Adolf, Grete, and Leopold Meyerhof on rooftop of store and residence Meyerhof am Platze; Hildesheim, Germany.

From left to right, standing: Ilse, Adolf, Grete and Lepold Meyerhof; from left to right, sitting: Joel Meyerhof and Therese Mayerhof nee Molling

Portrait of Therese Meyerhof nee Molling.

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