Fitting the Distribution of Linear Combinations of <svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-0.4619999pt" id="M1" height="10.7762pt" version="1.1" viewBox="-0.0657574 -10.3142 16.1157 10.7762" width="16.1157pt"><g transform="matrix(.017,0,0,-0.017,0,0)"><path id="g113-117" d="M324 430H196L233 583L223 592L145 529L120 430H54L29 396L31 388H111L56 126C33 15 54 -12 77 -12C137 -12 214 57 250 95L233 119C208 92 155 59 138 59C126 59 120 70 131 125L186 390L298 394L324 430Z"/></g><g transform="matrix(.017,0,0,-0.017,5.852,0)"><path id="g117-33" d="M535 230V280H52V230H535Z"/></g></svg> Variables with more than 2 Degrees of Freedom

<div>Estimated Bhattacharyya distance as a function of <span class="nowrap"><svg height="6.37608pt" id="M273" style="vertical-align:-0.2324901pt" version="1.1" viewbox="-0.0498162 -6.14359 6.02377 6.37608" width="6.02377pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M213 67C239 136 257 225 255 300C253 353 242 447 164 447C112 447 54 389 41 319L67 309C90 362 117 377 134 377C184 377 189 277 190 239C193 153 164 43 146 -12H176C278 73 450 253 450 390C450 439 410 463 396 463C384 463 380 459 382 449C385 440 389 415 389 402C389 284 312 146 216 67H213Z"></path></g></svg>.</span></div>

Journal of Probability and Statistics

fig9

Figure 9

Figure 9: Fitting the Distribution of Linear Combinations of <svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-0.4619999pt" id="M1" height="10.7762pt" version="1.1" viewBox="-0.0657574 -10.3142 16.1157 10.7762" width="16.1157pt"><g transform="matrix(.017,0,0,-0.017,0,0)"><path id="g113-117" d="M324 430H196L233 583L223 592L145 529L120 430H54L29 396L31 388H111L56 126C33 15 54 -12 77 -12C137 -12 214 57 250 95L233 119C208 92 155 59 138 59C126 59 120 70 131 125L186 390L298 394L324 430Z"/></g><g transform="matrix(.017,0,0,-0.017,5.852,0)"><path id="g117-33" d="M535 230V280H52V230H535Z"/></g></svg> Variables with more than 2 Degrees of Freedom 

Journal of Probability and Statistics

Fitting the Distribution of Linear Combinations of Variables with more than 2 Degrees of Freedom

Figure 9