# Bivariate Lognormal Distribution

Is there a pdf for bivariate lognormal distribution? Suppose there are 2 random variable $X_1$ and $X_2$ with standard normal distribution, how would the pdf of a bivariate lognormal distribution look like?

Thanks!

-

1
If $X_1$, $X_2$ are normally distributed, why would you expect their joint distribution to be a bivariate lognormal distribution? – fgp Oct 19 '12 at 9:50
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 4, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "github"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "english_confidence": 0.9033291339874268, "perplexity_flag": "middle"}